What is the Greatest Common Factor of 72621 and 72634?

Greatest common factor (GCF) of 72621 and 72634 is 1.

GCF(72621,72634) = 1

We will now calculate the prime factors of 72621 and 72634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72621 and 72634.

How to find the GCF of 72621 and 72634?

We will first find the prime factorization of 72621 and 72634. After we will calculate the factors of 72621 and 72634 and find the biggest common factor number .

Step-1: Prime Factorization of 72621

Prime factors of 72621 are 3, 8069. Prime factorization of 72621 in exponential form is:

72621 = 3² × 8069¹

Step-2: Prime Factorization of 72634

Prime factors of 72634 are 2, 23, 1579. Prime factorization of 72634 in exponential form is:

72634 = 2¹ × 23¹ × 1579¹

Step-3: Factors of 72621

List of positive integer factors of 72621 that divides 72621 without a remainder.

1, 3, 9, 8069, 24207

Step-4: Factors of 72634

List of positive integer factors of 72634 that divides 72621 without a remainder.

1, 2, 23, 46, 1579, 3158, 36317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72621 and 72634. The biggest common factor number is the GCF number.
So the greatest common factor 72621 and 72634 is 1.

Also check out the Least Common Multiple of 72621 and 72634