What is the Greatest Common Factor of 72621 and 72629?

Greatest common factor (GCF) of 72621 and 72629 is 1.

GCF(72621,72629) = 1

We will now calculate the prime factors of 72621 and 72629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72621 and 72629.

How to find the GCF of 72621 and 72629?

We will first find the prime factorization of 72621 and 72629. After we will calculate the factors of 72621 and 72629 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 72629

Prime factors of 72629 are 59, 1231. Prime factorization of 72629 in exponential form is:

72629 = 59¹ × 1231¹

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 72629

List of positive integer factors of 72629 that divides 72621 without a remainder.

1, 59, 1231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72621 and 72629. The biggest common factor number is the GCF number.
So the greatest common factor 72621 and 72629 is 1.

Also check out the Least Common Multiple of 72621 and 72629