What is the Greatest Common Factor of 59056 and 59072?

Greatest common factor (GCF) of 59056 and 59072 is 16.

GCF(59056,59072) = 16

We will now calculate the prime factors of 59056 and 59072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59056 and 59072.

How to find the GCF of 59056 and 59072?

We will first find the prime factorization of 59056 and 59072. After we will calculate the factors of 59056 and 59072 and find the biggest common factor number .

Step-1: Prime Factorization of 59056

Prime factors of 59056 are 2, 3691. Prime factorization of 59056 in exponential form is:

59056 = 2⁴ × 3691¹

Step-2: 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-3: Factors of 59056

List of positive integer factors of 59056 that divides 59056 without a remainder.

1, 2, 4, 8, 16, 3691, 7382, 14764, 29528

Step-4: Factors of 59072

List of positive integer factors of 59072 that divides 59056 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59056 and 59072. The biggest common factor number is the GCF number.
So the greatest common factor 59056 and 59072 is 16.

Also check out the Least Common Multiple of 59056 and 59072