What is the Greatest Common Factor of 59536 and 59552?

Greatest common factor (GCF) of 59536 and 59552 is 16.

GCF(59536,59552) = 16

We will now calculate the prime factors of 59536 and 59552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59536 and 59552.

How to find the GCF of 59536 and 59552?

We will first find the prime factorization of 59536 and 59552. After we will calculate the factors of 59536 and 59552 and find the biggest common factor number .

Step-1: Prime Factorization of 59536

Prime factors of 59536 are 2, 61. Prime factorization of 59536 in exponential form is:

59536 = 2⁴ × 61²

Step-2: Prime Factorization of 59552

Prime factors of 59552 are 2, 1861. Prime factorization of 59552 in exponential form is:

59552 = 2⁵ × 1861¹

Step-3: Factors of 59536

List of positive integer factors of 59536 that divides 59536 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976, 3721, 7442, 14884, 29768

Step-4: Factors of 59552

List of positive integer factors of 59552 that divides 59536 without a remainder.

1, 2, 4, 8, 16, 32, 1861, 3722, 7444, 14888, 29776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59536 and 59552. The biggest common factor number is the GCF number.
So the greatest common factor 59536 and 59552 is 16.

Also check out the Least Common Multiple of 59536 and 59552