What is the Greatest Common Factor of 72564 and 72577?

Greatest common factor (GCF) of 72564 and 72577 is 1.

GCF(72564,72577) = 1

We will now calculate the prime factors of 72564 and 72577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72564 and 72577.

How to find the GCF of 72564 and 72577?

We will first find the prime factorization of 72564 and 72577. After we will calculate the factors of 72564 and 72577 and find the biggest common factor number .

Step-1: Prime Factorization of 72564

Prime factors of 72564 are 2, 3, 6047. Prime factorization of 72564 in exponential form is:

72564 = 2² × 3¹ × 6047¹

Step-2: Prime Factorization of 72577

Prime factors of 72577 are 72577. Prime factorization of 72577 in exponential form is:

72577 = 72577¹

Step-3: Factors of 72564

List of positive integer factors of 72564 that divides 72564 without a remainder.

1, 2, 3, 4, 6, 12, 6047, 12094, 18141, 24188, 36282

Step-4: Factors of 72577

List of positive integer factors of 72577 that divides 72564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72564 and 72577. The biggest common factor number is the GCF number.
So the greatest common factor 72564 and 72577 is 1.

Also check out the Least Common Multiple of 72564 and 72577