What is the Greatest Common Factor of 22705 and 22720?

Greatest common factor (GCF) of 22705 and 22720 is 5.

GCF(22705,22720) = 5

We will now calculate the prime factors of 22705 and 22720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22705 and 22720.

How to find the GCF of 22705 and 22720?

We will first find the prime factorization of 22705 and 22720. After we will calculate the factors of 22705 and 22720 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 22720

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

22720 = 2⁶ × 5¹ × 71¹

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 22720

List of positive integer factors of 22720 that divides 22705 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22705 and 22720. The biggest common factor number is the GCF number.
So the greatest common factor 22705 and 22720 is 5.

Also check out the Least Common Multiple of 22705 and 22720