What is the Greatest Common Factor of 72619 and 72637?

Greatest common factor (GCF) of 72619 and 72637 is 1.

GCF(72619,72637) = 1

We will now calculate the prime factors of 72619 and 72637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72619 and 72637.

How to find the GCF of 72619 and 72637?

We will first find the prime factorization of 72619 and 72637. After we will calculate the factors of 72619 and 72637 and find the biggest common factor number .

Step-1: Prime Factorization of 72619

Prime factors of 72619 are 101, 719. Prime factorization of 72619 in exponential form is:

72619 = 101¹ × 719¹

Step-2: Prime Factorization of 72637

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

72637 = 19¹ × 3823¹

Step-3: Factors of 72619

List of positive integer factors of 72619 that divides 72619 without a remainder.

1, 101, 719

Step-4: Factors of 72637

List of positive integer factors of 72637 that divides 72619 without a remainder.

1, 19, 3823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72619 and 72637. The biggest common factor number is the GCF number.
So the greatest common factor 72619 and 72637 is 1.

Also check out the Least Common Multiple of 72619 and 72637