What is the Greatest Common Factor of 72657 and 72670?

Greatest common factor (GCF) of 72657 and 72670 is 13.

GCF(72657,72670) = 13

We will now calculate the prime factors of 72657 and 72670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72657 and 72670.

How to find the GCF of 72657 and 72670?

We will first find the prime factorization of 72657 and 72670. After we will calculate the factors of 72657 and 72670 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72670

Prime factors of 72670 are 2, 5, 13, 43. Prime factorization of 72670 in exponential form is:

72670 = 2¹ × 5¹ × 13² × 43¹

Step-3: Factors of 72657

List of positive integer factors of 72657 that divides 72657 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

Step-4: Factors of 72670

List of positive integer factors of 72670 that divides 72657 without a remainder.

1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 169, 215, 338, 430, 559, 845, 1118, 1690, 2795, 5590, 7267, 14534, 36335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72657 and 72670. The biggest common factor number is the GCF number.
So the greatest common factor 72657 and 72670 is 13.

Also check out the Least Common Multiple of 72657 and 72670