What is the Greatest Common Factor of 52112 and 52132?

Greatest common factor (GCF) of 52112 and 52132 is 4.

GCF(52112,52132) = 4

We will now calculate the prime factors of 52112 and 52132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52112 and 52132.

How to find the GCF of 52112 and 52132?

We will first find the prime factorization of 52112 and 52132. After we will calculate the factors of 52112 and 52132 and find the biggest common factor number .

Step-1: Prime Factorization of 52112

Prime factors of 52112 are 2, 3257. Prime factorization of 52112 in exponential form is:

52112 = 2⁴ × 3257¹

Step-2: Prime Factorization of 52132

Prime factors of 52132 are 2, 13033. Prime factorization of 52132 in exponential form is:

52132 = 2² × 13033¹

Step-3: Factors of 52112

List of positive integer factors of 52112 that divides 52112 without a remainder.

1, 2, 4, 8, 16, 3257, 6514, 13028, 26056

Step-4: Factors of 52132

List of positive integer factors of 52132 that divides 52112 without a remainder.

1, 2, 4, 13033, 26066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52112 and 52132. The biggest common factor number is the GCF number.
So the greatest common factor 52112 and 52132 is 4.

Also check out the Least Common Multiple of 52112 and 52132