What is the Greatest Common Factor of 22720 and 22724?

Greatest common factor (GCF) of 22720 and 22724 is 4.

GCF(22720,22724) = 4

We will now calculate the prime factors of 22720 and 22724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22720 and 22724.

How to find the GCF of 22720 and 22724?

We will first find the prime factorization of 22720 and 22724. After we will calculate the factors of 22720 and 22724 and find the biggest common factor number .

Step-1: Prime Factorization of 22720

Prime factors of 22720 are 2, 5, 71. Prime factorization of 22720 in exponential form is:

22720 = 2⁶ × 5¹ × 71¹

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 22720

List of positive integer factors of 22720 that divides 22720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 71, 80, 142, 160, 284, 320, 355, 568, 710, 1136, 1420, 2272, 2840, 4544, 5680, 11360

Step-4: Factors of 22724

List of positive integer factors of 22724 that divides 22720 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 22720 and 22724. The biggest common factor number is the GCF number.
So the greatest common factor 22720 and 22724 is 4.

Also check out the Least Common Multiple of 22720 and 22724