What is the Greatest Common Factor of 28360 and 28376?

Greatest common factor (GCF) of 28360 and 28376 is 8.

GCF(28360,28376) = 8

We will now calculate the prime factors of 28360 and 28376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28360 and 28376.

How to find the GCF of 28360 and 28376?

We will first find the prime factorization of 28360 and 28376. After we will calculate the factors of 28360 and 28376 and find the biggest common factor number .

Step-1: Prime Factorization of 28360

Prime factors of 28360 are 2, 5, 709. Prime factorization of 28360 in exponential form is:

28360 = 2³ × 5¹ × 709¹

Step-2: Prime Factorization of 28376

Prime factors of 28376 are 2, 3547. Prime factorization of 28376 in exponential form is:

28376 = 2³ × 3547¹

Step-3: Factors of 28360

List of positive integer factors of 28360 that divides 28360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 709, 1418, 2836, 3545, 5672, 7090, 14180

Step-4: Factors of 28376

List of positive integer factors of 28376 that divides 28360 without a remainder.

1, 2, 4, 8, 3547, 7094, 14188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28360 and 28376. The biggest common factor number is the GCF number.
So the greatest common factor 28360 and 28376 is 8.

Also check out the Least Common Multiple of 28360 and 28376