What is the Greatest Common Factor of 39504 and 39516?

Greatest common factor (GCF) of 39504 and 39516 is 12.

GCF(39504,39516) = 12

We will now calculate the prime factors of 39504 and 39516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39504 and 39516.

How to find the GCF of 39504 and 39516?

We will first find the prime factorization of 39504 and 39516. After we will calculate the factors of 39504 and 39516 and find the biggest common factor number .

Step-1: Prime Factorization of 39504

Prime factors of 39504 are 2, 3, 823. Prime factorization of 39504 in exponential form is:

39504 = 2⁴ × 3¹ × 823¹

Step-2: Prime Factorization of 39516

Prime factors of 39516 are 2, 3, 37, 89. Prime factorization of 39516 in exponential form is:

39516 = 2² × 3¹ × 37¹ × 89¹

Step-3: Factors of 39504

List of positive integer factors of 39504 that divides 39504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 823, 1646, 2469, 3292, 4938, 6584, 9876, 13168, 19752

Step-4: Factors of 39516

List of positive integer factors of 39516 that divides 39504 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 89, 111, 148, 178, 222, 267, 356, 444, 534, 1068, 3293, 6586, 9879, 13172, 19758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39504 and 39516. The biggest common factor number is the GCF number.
So the greatest common factor 39504 and 39516 is 12.

Also check out the Least Common Multiple of 39504 and 39516