What is the Greatest Common Factor of 22720 and 22725?

Greatest common factor (GCF) of 22720 and 22725 is 5.

GCF(22720,22725) = 5

We will now calculate the prime factors of 22720 and 22725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22720 and 22725.

How to find the GCF of 22720 and 22725?

We will first find the prime factorization of 22720 and 22725. After we will calculate the factors of 22720 and 22725 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 22725

Prime factors of 22725 are 3, 5, 101. Prime factorization of 22725 in exponential form is:

22725 = 3² × 5² × 101¹

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 22725

List of positive integer factors of 22725 that divides 22720 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 101, 225, 303, 505, 909, 1515, 2525, 4545, 7575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22720 and 22725. The biggest common factor number is the GCF number.
So the greatest common factor 22720 and 22725 is 5.

Also check out the Least Common Multiple of 22720 and 22725