What is the Greatest Common Factor of 22720 and 22735?

Greatest common factor (GCF) of 22720 and 22735 is 5.

GCF(22720,22735) = 5

We will now calculate the prime factors of 22720 and 22735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22720 and 22735.

How to find the GCF of 22720 and 22735?

We will first find the prime factorization of 22720 and 22735. After we will calculate the factors of 22720 and 22735 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 22735

Prime factors of 22735 are 5, 4547. Prime factorization of 22735 in exponential form is:

22735 = 5¹ × 4547¹

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 22735

List of positive integer factors of 22735 that divides 22720 without a remainder.

1, 5, 4547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22720 and 22735. The biggest common factor number is the GCF number.
So the greatest common factor 22720 and 22735 is 5.

Also check out the Least Common Multiple of 22720 and 22735