What is the Greatest Common Factor of 75624 and 75638?

Greatest common factor (GCF) of 75624 and 75638 is 2.

GCF(75624,75638) = 2

We will now calculate the prime factors of 75624 and 75638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75624 and 75638.

How to find the GCF of 75624 and 75638?

We will first find the prime factorization of 75624 and 75638. After we will calculate the factors of 75624 and 75638 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 75638

Prime factors of 75638 are 2, 59, 641. Prime factorization of 75638 in exponential form is:

75638 = 2¹ × 59¹ × 641¹

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 75638

List of positive integer factors of 75638 that divides 75624 without a remainder.

1, 2, 59, 118, 641, 1282, 37819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75624 and 75638. The biggest common factor number is the GCF number.
So the greatest common factor 75624 and 75638 is 2.

Also check out the Least Common Multiple of 75624 and 75638