What is the Greatest Common Factor of 492 and 504?

Greatest common factor (GCF) of 492 and 504 is 12.

GCF(492,504) = 12

We will now calculate the prime factors of 492 and 504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 492 and 504.

How to find the GCF of 492 and 504?

We will first find the prime factorization of 492 and 504. After we will calculate the factors of 492 and 504 and find the biggest common factor number .

Step-1: Prime Factorization of 492

Prime factors of 492 are 2, 3, 41. Prime factorization of 492 in exponential form is:

492 = 2² × 3¹ × 41¹

Step-2: Prime Factorization of 504

Prime factors of 504 are 2, 3, 7. Prime factorization of 504 in exponential form is:

504 = 2³ × 3² × 7¹

Step-3: Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246

Step-4: Factors of 504

List of positive integer factors of 504 that divides 492 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 492 and 504. The biggest common factor number is the GCF number.
So the greatest common factor 492 and 504 is 12.

Also check out the Least Common Multiple of 492 and 504