What is the greatest common factor of 65 and 91?

So,
First, we find the prime factored form (P.F.F.) of 65 and 91.
P.F.F. of 65: 5 * 13
P.F.F. of 91: 7 * 13
Find the common numbers 13
13 = G.C.F.
Note: This method works for finding any G.C.F. (find common primes)

Answered by SchwarzschildRadius | 2024-06-10

The greatest common factor (GCF) of 65 and 91 is 13 by using prime **factorization **method:
To find the **GCF **of two numbers, to determine the largest number that **divides **both of them evenly.
To **find **the GCF of 65 and 91, use the prime **factorization **method:
Step 1: Prime factorize both numbers :
65 = 5 × 13
91 = 7 × 13
Step 2: Identify the **common **prime factors:
Both 65 and 91 share the prime **factor **13.
Step 3: Determine the **highest **common prime factor:
The highest common **prime **factor of 65 and 91 is 13.
Therefore, the **GCF **of 65 and 91 is 13.
Learn more about greatest common factor here:
https://brainly.com/question/2292401
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Answered by kuldeepjadhav | 2024-06-18

The greatest common factor of 65 and 91 is 13, found by determining their prime factorizations and identifying the common prime factors. Both 65 and 91 have 13 as their only common prime factor. Therefore, 13 is the G.C.F.
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Answered by SchwarzschildRadius | 2024-10-01