What is the Greatest Common Factor of 75624 and 75631?

Greatest common factor (GCF) of 75624 and 75631 is 1.

GCF(75624,75631) = 1

We will now calculate the prime factors of 75624 and 75631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75624 and 75631.

How to find the GCF of 75624 and 75631?

We will first find the prime factorization of 75624 and 75631. After we will calculate the factors of 75624 and 75631 and find the biggest common factor number .

Step-1: Prime Factorization of 75624

Prime factors of 75624 are 2, 3, 23, 137. Prime factorization of 75624 in exponential form is:

75624 = 2³ × 3¹ × 23¹ × 137¹

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 75624

List of positive integer factors of 75624 that divides 75624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 137, 138, 184, 274, 276, 411, 548, 552, 822, 1096, 1644, 3151, 3288, 6302, 9453, 12604, 18906, 25208, 37812

Step-4: Factors of 75631

List of positive integer factors of 75631 that divides 75624 without a remainder.

1, 53, 1427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75624 and 75631. The biggest common factor number is the GCF number.
So the greatest common factor 75624 and 75631 is 1.

Also check out the Least Common Multiple of 75624 and 75631