What is the Greatest Common Factor of 22776 and 22789?

Greatest common factor (GCF) of 22776 and 22789 is 13.

GCF(22776,22789) = 13

We will now calculate the prime factors of 22776 and 22789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22776 and 22789.

How to find the GCF of 22776 and 22789?

We will first find the prime factorization of 22776 and 22789. After we will calculate the factors of 22776 and 22789 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 22789

Prime factors of 22789 are 13, 1753. Prime factorization of 22789 in exponential form is:

22789 = 13¹ × 1753¹

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 22789

List of positive integer factors of 22789 that divides 22776 without a remainder.

1, 13, 1753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22776 and 22789. The biggest common factor number is the GCF number.
So the greatest common factor 22776 and 22789 is 13.

Also check out the Least Common Multiple of 22776 and 22789