What is the Greatest Common Factor of 22856 and 22860?

Greatest common factor (GCF) of 22856 and 22860 is 4.

GCF(22856,22860) = 4

We will now calculate the prime factors of 22856 and 22860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22856 and 22860.

How to find the GCF of 22856 and 22860?

We will first find the prime factorization of 22856 and 22860. After we will calculate the factors of 22856 and 22860 and find the biggest common factor number .

Step-1: Prime Factorization of 22856

Prime factors of 22856 are 2, 2857. Prime factorization of 22856 in exponential form is:

22856 = 2³ × 2857¹

Step-2: Prime Factorization of 22860

Prime factors of 22860 are 2, 3, 5, 127. Prime factorization of 22860 in exponential form is:

22860 = 2² × 3² × 5¹ × 127¹

Step-3: Factors of 22856

List of positive integer factors of 22856 that divides 22856 without a remainder.

1, 2, 4, 8, 2857, 5714, 11428

Step-4: Factors of 22860

List of positive integer factors of 22860 that divides 22856 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 127, 180, 254, 381, 508, 635, 762, 1143, 1270, 1524, 1905, 2286, 2540, 3810, 4572, 5715, 7620, 11430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22856 and 22860. The biggest common factor number is the GCF number.
So the greatest common factor 22856 and 22860 is 4.

Also check out the Least Common Multiple of 22856 and 22860