What is the Greatest Common Factor of 28374 and 28388?

Greatest common factor (GCF) of 28374 and 28388 is 2.

GCF(28374,28388) = 2

We will now calculate the prime factors of 28374 and 28388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28374 and 28388.

How to find the GCF of 28374 and 28388?

We will first find the prime factorization of 28374 and 28388. After we will calculate the factors of 28374 and 28388 and find the biggest common factor number .

Step-1: Prime Factorization of 28374

Prime factors of 28374 are 2, 3, 4729. Prime factorization of 28374 in exponential form is:

28374 = 2¹ × 3¹ × 4729¹

Step-2: Prime Factorization of 28388

Prime factors of 28388 are 2, 47, 151. Prime factorization of 28388 in exponential form is:

28388 = 2² × 47¹ × 151¹

Step-3: Factors of 28374

List of positive integer factors of 28374 that divides 28374 without a remainder.

1, 2, 3, 6, 4729, 9458, 14187

Step-4: Factors of 28388

List of positive integer factors of 28388 that divides 28374 without a remainder.

1, 2, 4, 47, 94, 151, 188, 302, 604, 7097, 14194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28374 and 28388. The biggest common factor number is the GCF number.
So the greatest common factor 28374 and 28388 is 2.

Also check out the Least Common Multiple of 28374 and 28388