What is the Greatest Common Factor of 59152 and 59164?

Greatest common factor (GCF) of 59152 and 59164 is 4.

GCF(59152,59164) = 4

We will now calculate the prime factors of 59152 and 59164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59152 and 59164.

How to find the GCF of 59152 and 59164?

We will first find the prime factorization of 59152 and 59164. After we will calculate the factors of 59152 and 59164 and find the biggest common factor number .

Step-1: Prime Factorization of 59152

Prime factors of 59152 are 2, 3697. Prime factorization of 59152 in exponential form is:

59152 = 2⁴ × 3697¹

Step-2: Prime Factorization of 59164

Prime factors of 59164 are 2, 7, 2113. Prime factorization of 59164 in exponential form is:

59164 = 2² × 7¹ × 2113¹

Step-3: Factors of 59152

List of positive integer factors of 59152 that divides 59152 without a remainder.

1, 2, 4, 8, 16, 3697, 7394, 14788, 29576

Step-4: Factors of 59164

List of positive integer factors of 59164 that divides 59152 without a remainder.

1, 2, 4, 7, 14, 28, 2113, 4226, 8452, 14791, 29582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59152 and 59164. The biggest common factor number is the GCF number.
So the greatest common factor 59152 and 59164 is 4.

Also check out the Least Common Multiple of 59152 and 59164