What is the Greatest Common Factor of 22705 and 22724?

Greatest common factor (GCF) of 22705 and 22724 is 19.

GCF(22705,22724) = 19

We will now calculate the prime factors of 22705 and 22724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22705 and 22724.

How to find the GCF of 22705 and 22724?

We will first find the prime factorization of 22705 and 22724. After we will calculate the factors of 22705 and 22724 and find the biggest common factor number .

Step-1: Prime Factorization of 22705

Prime factors of 22705 are 5, 19, 239. Prime factorization of 22705 in exponential form is:

22705 = 5¹ × 19¹ × 239¹

Step-2: Prime Factorization of 22724

Prime factors of 22724 are 2, 13, 19, 23. Prime factorization of 22724 in exponential form is:

22724 = 2² × 13¹ × 19¹ × 23¹

Step-3: Factors of 22705

List of positive integer factors of 22705 that divides 22705 without a remainder.

1, 5, 19, 95, 239, 1195, 4541

Step-4: Factors of 22724

List of positive integer factors of 22724 that divides 22705 without a remainder.

1, 2, 4, 13, 19, 23, 26, 38, 46, 52, 76, 92, 247, 299, 437, 494, 598, 874, 988, 1196, 1748, 5681, 11362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22705 and 22724. The biggest common factor number is the GCF number.
So the greatest common factor 22705 and 22724 is 19.

Also check out the Least Common Multiple of 22705 and 22724