What is the Greatest Common Factor of 28600 and 28612?

Greatest common factor (GCF) of 28600 and 28612 is 4.

GCF(28600,28612) = 4

We will now calculate the prime factors of 28600 and 28612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28600 and 28612.

How to find the GCF of 28600 and 28612?

We will first find the prime factorization of 28600 and 28612. After we will calculate the factors of 28600 and 28612 and find the biggest common factor number .

Step-1: Prime Factorization of 28600

Prime factors of 28600 are 2, 5, 11, 13. Prime factorization of 28600 in exponential form is:

28600 = 2³ × 5² × 11¹ × 13¹

Step-2: Prime Factorization of 28612

Prime factors of 28612 are 2, 23, 311. Prime factorization of 28612 in exponential form is:

28612 = 2² × 23¹ × 311¹

Step-3: Factors of 28600

List of positive integer factors of 28600 that divides 28600 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 25, 26, 40, 44, 50, 52, 55, 65, 88, 100, 104, 110, 130, 143, 200, 220, 260, 275, 286, 325, 440, 520, 550, 572, 650, 715, 1100, 1144, 1300, 1430, 2200, 2600, 2860, 3575, 5720, 7150, 14300

Step-4: Factors of 28612

List of positive integer factors of 28612 that divides 28600 without a remainder.

1, 2, 4, 23, 46, 92, 311, 622, 1244, 7153, 14306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28600 and 28612. The biggest common factor number is the GCF number.
So the greatest common factor 28600 and 28612 is 4.

Also check out the Least Common Multiple of 28600 and 28612