What is the Greatest Common Factor of 72657 and 72667?

Greatest common factor (GCF) of 72657 and 72667 is 1.

GCF(72657,72667) = 1

We will now calculate the prime factors of 72657 and 72667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72657 and 72667.

How to find the GCF of 72657 and 72667?

We will first find the prime factorization of 72657 and 72667. After we will calculate the factors of 72657 and 72667 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 72667

Prime factors of 72667 are 7, 1483. Prime factorization of 72667 in exponential form is:

72667 = 7² × 1483¹

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 72667

List of positive integer factors of 72667 that divides 72657 without a remainder.

1, 7, 49, 1483, 10381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72657 and 72667. The biggest common factor number is the GCF number.
So the greatest common factor 72657 and 72667 is 1.

Also check out the Least Common Multiple of 72657 and 72667