What is the Greatest Common Factor of 62132 and 62144?

Greatest common factor (GCF) of 62132 and 62144 is 4.

GCF(62132,62144) = 4

We will now calculate the prime factors of 62132 and 62144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62132 and 62144.

How to find the GCF of 62132 and 62144?

We will first find the prime factorization of 62132 and 62144. After we will calculate the factors of 62132 and 62144 and find the biggest common factor number .

Step-1: Prime Factorization of 62132

Prime factors of 62132 are 2, 7, 317. Prime factorization of 62132 in exponential form is:

62132 = 2² × 7² × 317¹

Step-2: Prime Factorization of 62144

Prime factors of 62144 are 2, 971. Prime factorization of 62144 in exponential form is:

62144 = 2⁶ × 971¹

Step-3: Factors of 62132

List of positive integer factors of 62132 that divides 62132 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 317, 634, 1268, 2219, 4438, 8876, 15533, 31066

Step-4: Factors of 62144

List of positive integer factors of 62144 that divides 62132 without a remainder.

1, 2, 4, 8, 16, 32, 64, 971, 1942, 3884, 7768, 15536, 31072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62132 and 62144. The biggest common factor number is the GCF number.
So the greatest common factor 62132 and 62144 is 4.

Also check out the Least Common Multiple of 62132 and 62144