What is the Greatest Common Factor of 28476 and 28488?

Greatest common factor (GCF) of 28476 and 28488 is 12.

GCF(28476,28488) = 12

We will now calculate the prime factors of 28476 and 28488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28476 and 28488.

How to find the GCF of 28476 and 28488?

We will first find the prime factorization of 28476 and 28488. After we will calculate the factors of 28476 and 28488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28488

Prime factors of 28488 are 2, 3, 1187. Prime factorization of 28488 in exponential form is:

28488 = 2³ × 3¹ × 1187¹

Step-3: Factors of 28476

List of positive integer factors of 28476 that divides 28476 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

Step-4: Factors of 28488

List of positive integer factors of 28488 that divides 28476 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1187, 2374, 3561, 4748, 7122, 9496, 14244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28476 and 28488. The biggest common factor number is the GCF number.
So the greatest common factor 28476 and 28488 is 12.

Also check out the Least Common Multiple of 28476 and 28488