What is the Greatest Common Factor of 75624 and 75642?

Greatest common factor (GCF) of 75624 and 75642 is 6.

GCF(75624,75642) = 6

We will now calculate the prime factors of 75624 and 75642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75624 and 75642.

How to find the GCF of 75624 and 75642?

We will first find the prime factorization of 75624 and 75642. After we will calculate the factors of 75624 and 75642 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 75642

Prime factors of 75642 are 2, 3, 7, 1801. Prime factorization of 75642 in exponential form is:

75642 = 2¹ × 3¹ × 7¹ × 1801¹

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 75642

List of positive integer factors of 75642 that divides 75624 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1801, 3602, 5403, 10806, 12607, 25214, 37821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75624 and 75642. The biggest common factor number is the GCF number.
So the greatest common factor 75624 and 75642 is 6.

Also check out the Least Common Multiple of 75624 and 75642