What is the Greatest Common Factor of 59072 and 59088?

Greatest common factor (GCF) of 59072 and 59088 is 16.

GCF(59072,59088) = 16

We will now calculate the prime factors of 59072 and 59088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59072 and 59088.

How to find the GCF of 59072 and 59088?

We will first find the prime factorization of 59072 and 59088. After we will calculate the factors of 59072 and 59088 and find the biggest common factor number .

Step-1: Prime Factorization of 59072

Prime factors of 59072 are 2, 13, 71. Prime factorization of 59072 in exponential form is:

59072 = 2⁶ × 13¹ × 71¹

Step-2: Prime Factorization of 59088

Prime factors of 59088 are 2, 3, 1231. Prime factorization of 59088 in exponential form is:

59088 = 2⁴ × 3¹ × 1231¹

Step-3: Factors of 59072

List of positive integer factors of 59072 that divides 59072 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 71, 104, 142, 208, 284, 416, 568, 832, 923, 1136, 1846, 2272, 3692, 4544, 7384, 14768, 29536

Step-4: Factors of 59088

List of positive integer factors of 59088 that divides 59072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1231, 2462, 3693, 4924, 7386, 9848, 14772, 19696, 29544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59072 and 59088. The biggest common factor number is the GCF number.
So the greatest common factor 59072 and 59088 is 16.

Also check out the Least Common Multiple of 59072 and 59088