What is the Greatest Common Factor of 72637 and 72649?

Greatest common factor (GCF) of 72637 and 72649 is 1.

GCF(72637,72649) = 1

We will now calculate the prime factors of 72637 and 72649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72637 and 72649.

How to find the GCF of 72637 and 72649?

We will first find the prime factorization of 72637 and 72649. After we will calculate the factors of 72637 and 72649 and find the biggest common factor number .

Step-1: Prime Factorization of 72637

Prime factors of 72637 are 19, 3823. Prime factorization of 72637 in exponential form is:

72637 = 19¹ × 3823¹

Step-2: Prime Factorization of 72649

Prime factors of 72649 are 72649. Prime factorization of 72649 in exponential form is:

72649 = 72649¹

Step-3: Factors of 72637

List of positive integer factors of 72637 that divides 72637 without a remainder.

1, 19, 3823

Step-4: Factors of 72649

List of positive integer factors of 72649 that divides 72637 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72637 and 72649. The biggest common factor number is the GCF number.
So the greatest common factor 72637 and 72649 is 1.

Also check out the Least Common Multiple of 72637 and 72649