What is the Greatest Common Factor of 72642 and 72657?

Greatest common factor (GCF) of 72642 and 72657 is 3.

GCF(72642,72657) = 3

We will now calculate the prime factors of 72642 and 72657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72642 and 72657.

How to find the GCF of 72642 and 72657?

We will first find the prime factorization of 72642 and 72657. After we will calculate the factors of 72642 and 72657 and find the biggest common factor number .

Step-1: Prime Factorization of 72642

Prime factors of 72642 are 2, 3, 12107. Prime factorization of 72642 in exponential form is:

72642 = 2¹ × 3¹ × 12107¹

Step-2: Prime Factorization of 72657

Prime factors of 72657 are 3, 13, 23. Prime factorization of 72657 in exponential form is:

72657 = 3⁵ × 13¹ × 23¹

Step-3: Factors of 72642

List of positive integer factors of 72642 that divides 72642 without a remainder.

1, 2, 3, 6, 12107, 24214, 36321

Step-4: Factors of 72657

List of positive integer factors of 72657 that divides 72642 without a remainder.

1, 3, 9, 13, 23, 27, 39, 69, 81, 117, 207, 243, 299, 351, 621, 897, 1053, 1863, 2691, 3159, 5589, 8073, 24219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72642 and 72657. The biggest common factor number is the GCF number.
So the greatest common factor 72642 and 72657 is 3.

Also check out the Least Common Multiple of 72642 and 72657