What is the Greatest Common Factor of 75624 and 75643?

Greatest common factor (GCF) of 75624 and 75643 is 1.

GCF(75624,75643) = 1

We will now calculate the prime factors of 75624 and 75643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75624 and 75643.

How to find the GCF of 75624 and 75643?

We will first find the prime factorization of 75624 and 75643. After we will calculate the factors of 75624 and 75643 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 75643

Prime factors of 75643 are 67, 1129. Prime factorization of 75643 in exponential form is:

75643 = 67¹ × 1129¹

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 75643

List of positive integer factors of 75643 that divides 75624 without a remainder.

1, 67, 1129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75624 and 75643. The biggest common factor number is the GCF number.
So the greatest common factor 75624 and 75643 is 1.

Also check out the Least Common Multiple of 75624 and 75643