What is the Greatest Common Factor of 72516 and 72528?

Greatest common factor (GCF) of 72516 and 72528 is 12.

GCF(72516,72528) = 12

We will now calculate the prime factors of 72516 and 72528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72516 and 72528.

How to find the GCF of 72516 and 72528?

We will first find the prime factorization of 72516 and 72528. After we will calculate the factors of 72516 and 72528 and find the biggest common factor number .

Step-1: Prime Factorization of 72516

Prime factors of 72516 are 2, 3, 6043. Prime factorization of 72516 in exponential form is:

72516 = 2² × 3¹ × 6043¹

Step-2: Prime Factorization of 72528

Prime factors of 72528 are 2, 3, 1511. Prime factorization of 72528 in exponential form is:

72528 = 2⁴ × 3¹ × 1511¹

Step-3: Factors of 72516

List of positive integer factors of 72516 that divides 72516 without a remainder.

1, 2, 3, 4, 6, 12, 6043, 12086, 18129, 24172, 36258

Step-4: Factors of 72528

List of positive integer factors of 72528 that divides 72516 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1511, 3022, 4533, 6044, 9066, 12088, 18132, 24176, 36264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72516 and 72528. The biggest common factor number is the GCF number.
So the greatest common factor 72516 and 72528 is 12.

Also check out the Least Common Multiple of 72516 and 72528