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To find the greatest common factor (GCF) of two numbers, we need to identify the common prime factors and determine the lowest power of each factor that appears in both numbers.

The prime factorization of the first number, 2x2x3x5x5, is 2^2 x 3 x 5^2. The prime factorization of the second number, 2x3x3x5x7, is 2 x 3^2 x 5 x 7.

Comparing the prime factorizations, we see that the common factors are 2, 3, and 5. The lowest power of each common factor is 2^1 x 3^1 x 5^1, which equals 30. Therefore, the greatest common factor of the two numbers is 30.

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More answers

2 x 3 x 5 = 30

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Wiki User

13y ago
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1

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2/3/3/5/7

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Anonymous

4y ago
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Q: What is the greatest common factor of 2x2x3x5x5 and 2x3x3x5x7?
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