What is the Greatest Common Factor of 22920 and 22935?

Greatest common factor (GCF) of 22920 and 22935 is 15.

GCF(22920,22935) = 15

We will now calculate the prime factors of 22920 and 22935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22920 and 22935.

How to find the GCF of 22920 and 22935?

We will first find the prime factorization of 22920 and 22935. After we will calculate the factors of 22920 and 22935 and find the biggest common factor number .

Step-1: Prime Factorization of 22920

Prime factors of 22920 are 2, 3, 5, 191. Prime factorization of 22920 in exponential form is:

22920 = 2³ × 3¹ × 5¹ × 191¹

Step-2: Prime Factorization of 22935

Prime factors of 22935 are 3, 5, 11, 139. Prime factorization of 22935 in exponential form is:

22935 = 3¹ × 5¹ × 11¹ × 139¹

Step-3: Factors of 22920

List of positive integer factors of 22920 that divides 22920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 191, 382, 573, 764, 955, 1146, 1528, 1910, 2292, 2865, 3820, 4584, 5730, 7640, 11460

Step-4: Factors of 22935

List of positive integer factors of 22935 that divides 22920 without a remainder.

1, 3, 5, 11, 15, 33, 55, 139, 165, 417, 695, 1529, 2085, 4587, 7645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22920 and 22935. The biggest common factor number is the GCF number.
So the greatest common factor 22920 and 22935 is 15.

Also check out the Least Common Multiple of 22920 and 22935