The GCF of 25 and 30 is 5.
One way to determine the greatest common factor is to find all the factors of the numbers and compare them.
The factors of 25 are 1, 5, and 25.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The common factors are 1 and 5. Therefore, the greatest common factor is 5.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 25 are 5 and 5.
The prime factors of 30 are 2, 3, and 5.
The prime factors in common are a single 5, so the greatest common factor is 5.
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Method I:
Factors of 25 are 1, 5 & 25.
Factors of 30 are 1, 2, 3, 5, 6, 10, 15 & 30.
Common factors are 1 & 5. But, 5 is the greatest common factor.
Method II:
Prime factorization of 25 = 5x5
Prime factorization of 30 = 2x3x5
GCF = 5