What is the Greatest Common Factor of 28368 and 28377?

Greatest common factor (GCF) of 28368 and 28377 is 9.

GCF(28368,28377) = 9

We will now calculate the prime factors of 28368 and 28377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28368 and 28377.

How to find the GCF of 28368 and 28377?

We will first find the prime factorization of 28368 and 28377. After we will calculate the factors of 28368 and 28377 and find the biggest common factor number .

Step-1: Prime Factorization of 28368

Prime factors of 28368 are 2, 3, 197. Prime factorization of 28368 in exponential form is:

28368 = 2⁴ × 3² × 197¹

Step-2: Prime Factorization of 28377

Prime factors of 28377 are 3, 1051. Prime factorization of 28377 in exponential form is:

28377 = 3³ × 1051¹

Step-3: Factors of 28368

List of positive integer factors of 28368 that divides 28368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 197, 394, 591, 788, 1182, 1576, 1773, 2364, 3152, 3546, 4728, 7092, 9456, 14184

Step-4: Factors of 28377

List of positive integer factors of 28377 that divides 28368 without a remainder.

1, 3, 9, 27, 1051, 3153, 9459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28368 and 28377. The biggest common factor number is the GCF number.
So the greatest common factor 28368 and 28377 is 9.

Also check out the Least Common Multiple of 28368 and 28377