What is the Greatest Common Factor of 22764 and 22778?

Greatest common factor (GCF) of 22764 and 22778 is 14.

GCF(22764,22778) = 14

We will now calculate the prime factors of 22764 and 22778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22764 and 22778.

How to find the GCF of 22764 and 22778?

We will first find the prime factorization of 22764 and 22778. After we will calculate the factors of 22764 and 22778 and find the biggest common factor number .

Step-1: Prime Factorization of 22764

Prime factors of 22764 are 2, 3, 7, 271. Prime factorization of 22764 in exponential form is:

22764 = 2² × 3¹ × 7¹ × 271¹

Step-2: Prime Factorization of 22778

Prime factors of 22778 are 2, 7, 1627. Prime factorization of 22778 in exponential form is:

22778 = 2¹ × 7¹ × 1627¹

Step-3: Factors of 22764

List of positive integer factors of 22764 that divides 22764 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 271, 542, 813, 1084, 1626, 1897, 3252, 3794, 5691, 7588, 11382

Step-4: Factors of 22778

List of positive integer factors of 22778 that divides 22764 without a remainder.

1, 2, 7, 14, 1627, 3254, 11389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22764 and 22778. The biggest common factor number is the GCF number.
So the greatest common factor 22764 and 22778 is 14.

Also check out the Least Common Multiple of 22764 and 22778