What is the Greatest Common Factor of 72564 and 72580?

Greatest common factor (GCF) of 72564 and 72580 is 4.

GCF(72564,72580) = 4

We will now calculate the prime factors of 72564 and 72580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72564 and 72580.

How to find the GCF of 72564 and 72580?

We will first find the prime factorization of 72564 and 72580. After we will calculate the factors of 72564 and 72580 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 72580

Prime factors of 72580 are 2, 5, 19, 191. Prime factorization of 72580 in exponential form is:

72580 = 2² × 5¹ × 19¹ × 191¹

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 72580

List of positive integer factors of 72580 that divides 72564 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 191, 380, 382, 764, 955, 1910, 3629, 3820, 7258, 14516, 18145, 36290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72564 and 72580. The biggest common factor number is the GCF number.
So the greatest common factor 72564 and 72580 is 4.

Also check out the Least Common Multiple of 72564 and 72580