What is the Greatest Common Factor of 468 and 472?

Greatest common factor (GCF) of 468 and 472 is 4.

GCF(468,472) = 4

We will now calculate the prime factors of 468 and 472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 468 and 472.

How to find the GCF of 468 and 472?

We will first find the prime factorization of 468 and 472. After we will calculate the factors of 468 and 472 and find the biggest common factor number .

Step-1: Prime Factorization of 468

Prime factors of 468 are 2, 3, 13. Prime factorization of 468 in exponential form is:

468 = 2² × 3² × 13¹

Step-2: Prime Factorization of 472

Prime factors of 472 are 2, 59. Prime factorization of 472 in exponential form is:

472 = 2³ × 59¹

Step-3: Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234

Step-4: Factors of 472

List of positive integer factors of 472 that divides 468 without a remainder.

1, 2, 4, 8, 59, 118, 236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 468 and 472. The biggest common factor number is the GCF number.
So the greatest common factor 468 and 472 is 4.

Also check out the Least Common Multiple of 468 and 472