What is the Greatest Common Factor of 22776 and 22788?

Greatest common factor (GCF) of 22776 and 22788 is 12.

GCF(22776,22788) = 12

We will now calculate the prime factors of 22776 and 22788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22776 and 22788.

How to find the GCF of 22776 and 22788?

We will first find the prime factorization of 22776 and 22788. After we will calculate the factors of 22776 and 22788 and find the biggest common factor number .

Step-1: Prime Factorization of 22776

Prime factors of 22776 are 2, 3, 13, 73. Prime factorization of 22776 in exponential form is:

22776 = 2³ × 3¹ × 13¹ × 73¹

Step-2: Prime Factorization of 22788

Prime factors of 22788 are 2, 3, 211. Prime factorization of 22788 in exponential form is:

22788 = 2² × 3³ × 211¹

Step-3: Factors of 22776

List of positive integer factors of 22776 that divides 22776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 73, 78, 104, 146, 156, 219, 292, 312, 438, 584, 876, 949, 1752, 1898, 2847, 3796, 5694, 7592, 11388

Step-4: Factors of 22788

List of positive integer factors of 22788 that divides 22776 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 5697, 7596, 11394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22776 and 22788. The biggest common factor number is the GCF number.
So the greatest common factor 22776 and 22788 is 12.

Also check out the Least Common Multiple of 22776 and 22788