What is the Greatest Common Factor of 75612 and 75631?

Greatest common factor (GCF) of 75612 and 75631 is 1.

GCF(75612,75631) = 1

We will now calculate the prime factors of 75612 and 75631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75612 and 75631.

How to find the GCF of 75612 and 75631?

We will first find the prime factorization of 75612 and 75631. After we will calculate the factors of 75612 and 75631 and find the biggest common factor number .

Step-1: Prime Factorization of 75612

Prime factors of 75612 are 2, 3, 6301. Prime factorization of 75612 in exponential form is:

75612 = 2² × 3¹ × 6301¹

Step-2: Prime Factorization of 75631

Prime factors of 75631 are 53, 1427. Prime factorization of 75631 in exponential form is:

75631 = 53¹ × 1427¹

Step-3: Factors of 75612

List of positive integer factors of 75612 that divides 75612 without a remainder.

1, 2, 3, 4, 6, 12, 6301, 12602, 18903, 25204, 37806

Step-4: Factors of 75631

List of positive integer factors of 75631 that divides 75612 without a remainder.

1, 53, 1427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75612 and 75631. The biggest common factor number is the GCF number.
So the greatest common factor 75612 and 75631 is 1.

Also check out the Least Common Multiple of 75612 and 75631