What is the Greatest Common Factor of 75624 and 75630?

Greatest common factor (GCF) of 75624 and 75630 is 6.

GCF(75624,75630) = 6

We will now calculate the prime factors of 75624 and 75630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75624 and 75630.

How to find the GCF of 75624 and 75630?

We will first find the prime factorization of 75624 and 75630. After we will calculate the factors of 75624 and 75630 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 75630

Prime factors of 75630 are 2, 3, 5, 2521. Prime factorization of 75630 in exponential form is:

75630 = 2¹ × 3¹ × 5¹ × 2521¹

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 75630

List of positive integer factors of 75630 that divides 75624 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2521, 5042, 7563, 12605, 15126, 25210, 37815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75624 and 75630. The biggest common factor number is the GCF number.
So the greatest common factor 75624 and 75630 is 6.

Also check out the Least Common Multiple of 75624 and 75630