What is the Greatest Common Factor of 59488 and 59504?

Greatest common factor (GCF) of 59488 and 59504 is 16.

GCF(59488,59504) = 16

We will now calculate the prime factors of 59488 and 59504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59488 and 59504.

How to find the GCF of 59488 and 59504?

We will first find the prime factorization of 59488 and 59504. After we will calculate the factors of 59488 and 59504 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59504

Prime factors of 59504 are 2, 3719. Prime factorization of 59504 in exponential form is:

59504 = 2⁴ × 3719¹

Step-3: Factors of 59488

List of positive integer factors of 59488 that divides 59488 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

Step-4: Factors of 59504

List of positive integer factors of 59504 that divides 59488 without a remainder.

1, 2, 4, 8, 16, 3719, 7438, 14876, 29752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59488 and 59504. The biggest common factor number is the GCF number.
So the greatest common factor 59488 and 59504 is 16.

Also check out the Least Common Multiple of 59488 and 59504