What is the Greatest Common Factor of 78504 and 78516?

Greatest common factor (GCF) of 78504 and 78516 is 12.

GCF(78504,78516) = 12

We will now calculate the prime factors of 78504 and 78516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78504 and 78516.

How to find the GCF of 78504 and 78516?

We will first find the prime factorization of 78504 and 78516. After we will calculate the factors of 78504 and 78516 and find the biggest common factor number .

Step-1: Prime Factorization of 78504

Prime factors of 78504 are 2, 3, 3271. Prime factorization of 78504 in exponential form is:

78504 = 2³ × 3¹ × 3271¹

Step-2: Prime Factorization of 78516

Prime factors of 78516 are 2, 3, 727. Prime factorization of 78516 in exponential form is:

78516 = 2² × 3³ × 727¹

Step-3: Factors of 78504

List of positive integer factors of 78504 that divides 78504 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3271, 6542, 9813, 13084, 19626, 26168, 39252

Step-4: Factors of 78516

List of positive integer factors of 78516 that divides 78504 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 727, 1454, 2181, 2908, 4362, 6543, 8724, 13086, 19629, 26172, 39258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78504 and 78516. The biggest common factor number is the GCF number.
So the greatest common factor 78504 and 78516 is 12.

Also check out the Least Common Multiple of 78504 and 78516