What is the Greatest Common Factor of 22920 and 22940?

Greatest common factor (GCF) of 22920 and 22940 is 20.

GCF(22920,22940) = 20

We will now calculate the prime factors of 22920 and 22940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22920 and 22940.

How to find the GCF of 22920 and 22940?

We will first find the prime factorization of 22920 and 22940. After we will calculate the factors of 22920 and 22940 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 22940

Prime factors of 22940 are 2, 5, 31, 37. Prime factorization of 22940 in exponential form is:

22940 = 2² × 5¹ × 31¹ × 37¹

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 22940

List of positive integer factors of 22940 that divides 22920 without a remainder.

1, 2, 4, 5, 10, 20, 31, 37, 62, 74, 124, 148, 155, 185, 310, 370, 620, 740, 1147, 2294, 4588, 5735, 11470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22920 and 22940. The biggest common factor number is the GCF number.
So the greatest common factor 22920 and 22940 is 20.

Also check out the Least Common Multiple of 22920 and 22940