What is the Greatest Common Factor of 22924 and 22935?

Greatest common factor (GCF) of 22924 and 22935 is 11.

GCF(22924,22935) = 11

We will now calculate the prime factors of 22924 and 22935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22924 and 22935.

How to find the GCF of 22924 and 22935?

We will first find the prime factorization of 22924 and 22935. After we will calculate the factors of 22924 and 22935 and find the biggest common factor number .

Step-1: Prime Factorization of 22924

Prime factors of 22924 are 2, 11, 521. Prime factorization of 22924 in exponential form is:

22924 = 2² × 11¹ × 521¹

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 22924

List of positive integer factors of 22924 that divides 22924 without a remainder.

1, 2, 4, 11, 22, 44, 521, 1042, 2084, 5731, 11462

Step-4: Factors of 22935

List of positive integer factors of 22935 that divides 22924 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 22924 and 22935. The biggest common factor number is the GCF number.
So the greatest common factor 22924 and 22935 is 11.

Also check out the Least Common Multiple of 22924 and 22935