What is the Greatest Common Factor of 62132 and 62149?

Greatest common factor (GCF) of 62132 and 62149 is 1.

GCF(62132,62149) = 1

We will now calculate the prime factors of 62132 and 62149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62132 and 62149.

How to find the GCF of 62132 and 62149?

We will first find the prime factorization of 62132 and 62149. After we will calculate the factors of 62132 and 62149 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 62149

Prime factors of 62149 are 19, 3271. Prime factorization of 62149 in exponential form is:

62149 = 19¹ × 3271¹

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 62149

List of positive integer factors of 62149 that divides 62132 without a remainder.

1, 19, 3271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62132 and 62149. The biggest common factor number is the GCF number.
So the greatest common factor 62132 and 62149 is 1.

Also check out the Least Common Multiple of 62132 and 62149