What is the greatest common factor of 200 and 140?

200∣2 100∣2 50 ∣2 25 ∣5 5 ∣5 1 200 = 2 3 ∗ 5 2 140∣2 70 ∣2 35 ∣5 7 ∣7 1 140 = 2 2 ∗ 5 ∗ 7 G . C . F ( 200 ; 140 ) = 2 2 ∗ 5 = 20

Answered by mariamikayla | 2024-06-10

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200 .
The factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140 .
The factors common to both are 1, 2, 4, 5, 10, and 20 .
The greatest one of those is 20 .

Answered by AL2006 | 2024-06-10

The greatest common factor (GCF) of 200 and 140 is 20. This is determined by finding the prime factorizations of both numbers and selecting the lowest powers of their common prime factors. The result shows that both numbers share the prime factors 2 and 5, giving a GCF of 20.
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Answered by mariamikayla | 2024-10-15