What is the Greatest Common Factor of 28628 and 28632?

Greatest common factor (GCF) of 28628 and 28632 is 4.

GCF(28628,28632) = 4

We will now calculate the prime factors of 28628 and 28632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28628 and 28632.

How to find the GCF of 28628 and 28632?

We will first find the prime factorization of 28628 and 28632. After we will calculate the factors of 28628 and 28632 and find the biggest common factor number .

Step-1: Prime Factorization of 28628

Prime factors of 28628 are 2, 17, 421. Prime factorization of 28628 in exponential form is:

28628 = 2² × 17¹ × 421¹

Step-2: Prime Factorization of 28632

Prime factors of 28632 are 2, 3, 1193. Prime factorization of 28632 in exponential form is:

28632 = 2³ × 3¹ × 1193¹

Step-3: Factors of 28628

List of positive integer factors of 28628 that divides 28628 without a remainder.

1, 2, 4, 17, 34, 68, 421, 842, 1684, 7157, 14314

Step-4: Factors of 28632

List of positive integer factors of 28632 that divides 28628 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1193, 2386, 3579, 4772, 7158, 9544, 14316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28628 and 28632. The biggest common factor number is the GCF number.
So the greatest common factor 28628 and 28632 is 4.

Also check out the Least Common Multiple of 28628 and 28632