What is the Greatest Common Factor of 36516 and 36528?

Greatest common factor (GCF) of 36516 and 36528 is 12.

GCF(36516,36528) = 12

We will now calculate the prime factors of 36516 and 36528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36516 and 36528.

How to find the GCF of 36516 and 36528?

We will first find the prime factorization of 36516 and 36528. After we will calculate the factors of 36516 and 36528 and find the biggest common factor number .

Step-1: Prime Factorization of 36516

Prime factors of 36516 are 2, 3, 17, 179. Prime factorization of 36516 in exponential form is:

36516 = 2² × 3¹ × 17¹ × 179¹

Step-2: Prime Factorization of 36528

Prime factors of 36528 are 2, 3, 761. Prime factorization of 36528 in exponential form is:

36528 = 2⁴ × 3¹ × 761¹

Step-3: Factors of 36516

List of positive integer factors of 36516 that divides 36516 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 179, 204, 358, 537, 716, 1074, 2148, 3043, 6086, 9129, 12172, 18258

Step-4: Factors of 36528

List of positive integer factors of 36528 that divides 36516 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 761, 1522, 2283, 3044, 4566, 6088, 9132, 12176, 18264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36516 and 36528. The biggest common factor number is the GCF number.
So the greatest common factor 36516 and 36528 is 12.

Also check out the Least Common Multiple of 36516 and 36528