What is the Greatest Common Factor of 59539 and 59552?

Greatest common factor (GCF) of 59539 and 59552 is 1.

GCF(59539,59552) = 1

We will now calculate the prime factors of 59539 and 59552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59539 and 59552.

How to find the GCF of 59539 and 59552?

We will first find the prime factorization of 59539 and 59552. After we will calculate the factors of 59539 and 59552 and find the biggest common factor number .

Step-1: Prime Factorization of 59539

Prime factors of 59539 are 59539. Prime factorization of 59539 in exponential form is:

59539 = 59539¹

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 59539

List of positive integer factors of 59539 that divides 59539 without a remainder.

Step-4: Factors of 59552

List of positive integer factors of 59552 that divides 59539 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 59539 and 59552. The biggest common factor number is the GCF number.
So the greatest common factor 59539 and 59552 is 1.

Also check out the Least Common Multiple of 59539 and 59552