What is the Greatest Common Factor of 59480 and 59488?

Greatest common factor (GCF) of 59480 and 59488 is 8.

GCF(59480,59488) = 8

We will now calculate the prime factors of 59480 and 59488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59480 and 59488.

How to find the GCF of 59480 and 59488?

We will first find the prime factorization of 59480 and 59488. After we will calculate the factors of 59480 and 59488 and find the biggest common factor number .

Step-1: Prime Factorization of 59480

Prime factors of 59480 are 2, 5, 1487. Prime factorization of 59480 in exponential form is:

59480 = 2³ × 5¹ × 1487¹

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 59480

List of positive integer factors of 59480 that divides 59480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1487, 2974, 5948, 7435, 11896, 14870, 29740

Step-4: Factors of 59488

List of positive integer factors of 59488 that divides 59480 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 59480 and 59488. The biggest common factor number is the GCF number.
So the greatest common factor 59480 and 59488 is 8.

Also check out the Least Common Multiple of 59480 and 59488