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What is the Greatest Common Factor of 59484 and 59488?

Greatest common factor (GCF) of 59484 and 59488 is 4.

GCF(59484,59488) = 4

We will now calculate the prime factors of 59484 and 59488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59484 and 59488.

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How to find the GCF of 59484 and 59488?

We will first find the prime factorization of 59484 and 59488. After we will calculate the factors of 59484 and 59488 and find the biggest common factor number .

Step-1: Prime Factorization of 59484

Prime factors of 59484 are 2, 3, 4957. Prime factorization of 59484 in exponential form is:

59484 = 22 × 31 × 49571

Step-2: Prime Factorization of 59488

Prime factors of 59488 are 2, 11, 13. Prime factorization of 59488 in exponential form is:

59488 = 25 × 111 × 132

Step-3: Factors of 59484

List of positive integer factors of 59484 that divides 59484 without a remainder.

1, 2, 3, 4, 6, 12, 4957, 9914, 14871, 19828, 29742

Step-4: Factors of 59488

List of positive integer factors of 59488 that divides 59484 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 169, 176, 208, 286, 338, 352, 416, 572, 676, 1144, 1352, 1859, 2288, 2704, 3718, 4576, 5408, 7436, 14872, 29744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59484 and 59488. The biggest common factor number is the GCF number.
So the greatest common factor 59484 and 59488 is 4.

Also check out the Least Common Multiple of 59484 and 59488