Find the GCF (Greatest Common Factor) of 45 and 75. Show your work.

GCF − t h e l a r g es t co mm o n f a c t or o f tw o n u mb ers : 45 : 5 9 : 3 3 : 3 75 : 5 15 : 3 5 : 5 GCF = 5 ∗ 3 = 15 A n s w er i s 15.

Answered by luana | 2024-06-10

45 = 3 ⋅ 3 ⋅ 5 75 = 3 ⋅ 5 ⋅ 5
The GCF is 3 ⋅ 5 = 15 .

Answered by naǫ | 2024-06-10

The Greatest Common Factor (GCF) of 45 and 75 is 15. This was found by performing the prime factorization of both numbers and identifying the common factors. The GCF is calculated by multiplying the lowest powers of the common prime factors together.
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Answered by luana | 2024-12-26