What is the Greatest Common Factor of 62132 and 62142?

Greatest common factor (GCF) of 62132 and 62142 is 2.

GCF(62132,62142) = 2

We will now calculate the prime factors of 62132 and 62142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62132 and 62142.

How to find the GCF of 62132 and 62142?

We will first find the prime factorization of 62132 and 62142. After we will calculate the factors of 62132 and 62142 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 62142

Prime factors of 62142 are 2, 3, 10357. Prime factorization of 62142 in exponential form is:

62142 = 2¹ × 3¹ × 10357¹

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 62142

List of positive integer factors of 62142 that divides 62132 without a remainder.

1, 2, 3, 6, 10357, 20714, 31071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62132 and 62142. The biggest common factor number is the GCF number.
So the greatest common factor 62132 and 62142 is 2.

Also check out the Least Common Multiple of 62132 and 62142