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What is the Greatest Common Factor of 88528 and 88539?

Greatest common factor (GCF) of 88528 and 88539 is 11.

GCF(88528,88539) = 11

We will now calculate the prime factors of 88528 and 88539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88528 and 88539.

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How to find the GCF of 88528 and 88539?

We will first find the prime factorization of 88528 and 88539. After we will calculate the factors of 88528 and 88539 and find the biggest common factor number .

Step-1: Prime Factorization of 88528

Prime factors of 88528 are 2, 11, 503. Prime factorization of 88528 in exponential form is:

88528 = 24 × 111 × 5031

Step-2: Prime Factorization of 88539

Prime factors of 88539 are 3, 11, 2683. Prime factorization of 88539 in exponential form is:

88539 = 31 × 111 × 26831

Step-3: Factors of 88528

List of positive integer factors of 88528 that divides 88528 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 503, 1006, 2012, 4024, 5533, 8048, 11066, 22132, 44264

Step-4: Factors of 88539

List of positive integer factors of 88539 that divides 88528 without a remainder.

1, 3, 11, 33, 2683, 8049, 29513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88528 and 88539. The biggest common factor number is the GCF number.
So the greatest common factor 88528 and 88539 is 11.

Also check out the Least Common Multiple of 88528 and 88539