What is the Greatest Common Factor of 62125 and 62132?

Greatest common factor (GCF) of 62125 and 62132 is 7.

GCF(62125,62132) = 7

We will now calculate the prime factors of 62125 and 62132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62125 and 62132.

How to find the GCF of 62125 and 62132?

We will first find the prime factorization of 62125 and 62132. After we will calculate the factors of 62125 and 62132 and find the biggest common factor number .

Step-1: Prime Factorization of 62125

Prime factors of 62125 are 5, 7, 71. Prime factorization of 62125 in exponential form is:

62125 = 5³ × 7¹ × 71¹

Step-2: 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-3: Factors of 62125

List of positive integer factors of 62125 that divides 62125 without a remainder.

1, 5, 7, 25, 35, 71, 125, 175, 355, 497, 875, 1775, 2485, 8875, 12425

Step-4: Factors of 62132

List of positive integer factors of 62132 that divides 62125 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62125 and 62132. The biggest common factor number is the GCF number.
So the greatest common factor 62125 and 62132 is 7.

Also check out the Least Common Multiple of 62125 and 62132