What is the Greatest Common Factor of 28464 and 28476?

Greatest common factor (GCF) of 28464 and 28476 is 12.

GCF(28464,28476) = 12

We will now calculate the prime factors of 28464 and 28476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28464 and 28476.

How to find the GCF of 28464 and 28476?

We will first find the prime factorization of 28464 and 28476. After we will calculate the factors of 28464 and 28476 and find the biggest common factor number .

Step-1: Prime Factorization of 28464

Prime factors of 28464 are 2, 3, 593. Prime factorization of 28464 in exponential form is:

28464 = 2⁴ × 3¹ × 593¹

Step-2: Prime Factorization of 28476

Prime factors of 28476 are 2, 3, 7, 113. Prime factorization of 28476 in exponential form is:

28476 = 2² × 3² × 7¹ × 113¹

Step-3: Factors of 28464

List of positive integer factors of 28464 that divides 28464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 593, 1186, 1779, 2372, 3558, 4744, 7116, 9488, 14232

Step-4: Factors of 28476

List of positive integer factors of 28476 that divides 28464 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 113, 126, 226, 252, 339, 452, 678, 791, 1017, 1356, 1582, 2034, 2373, 3164, 4068, 4746, 7119, 9492, 14238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28464 and 28476. The biggest common factor number is the GCF number.
So the greatest common factor 28464 and 28476 is 12.

Also check out the Least Common Multiple of 28464 and 28476