What is the Greatest Common Factor of 22761 and 22776?

Greatest common factor (GCF) of 22761 and 22776 is 3.

GCF(22761,22776) = 3

We will now calculate the prime factors of 22761 and 22776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22761 and 22776.

How to find the GCF of 22761 and 22776?

We will first find the prime factorization of 22761 and 22776. After we will calculate the factors of 22761 and 22776 and find the biggest common factor number .

Step-1: Prime Factorization of 22761

Prime factors of 22761 are 3, 281. Prime factorization of 22761 in exponential form is:

22761 = 3⁴ × 281¹

Step-2: 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-3: Factors of 22761

List of positive integer factors of 22761 that divides 22761 without a remainder.

1, 3, 9, 27, 81, 281, 843, 2529, 7587

Step-4: Factors of 22776

List of positive integer factors of 22776 that divides 22761 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22761 and 22776. The biggest common factor number is the GCF number.
So the greatest common factor 22761 and 22776 is 3.

Also check out the Least Common Multiple of 22761 and 22776