What is the Greatest Common Factor of 22789 and 22802?

Greatest common factor (GCF) of 22789 and 22802 is 13.

GCF(22789,22802) = 13

We will now calculate the prime factors of 22789 and 22802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22789 and 22802.

How to find the GCF of 22789 and 22802?

We will first find the prime factorization of 22789 and 22802. After we will calculate the factors of 22789 and 22802 and find the biggest common factor number .

Step-1: Prime Factorization of 22789

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

22789 = 13¹ × 1753¹

Step-2: Prime Factorization of 22802

Prime factors of 22802 are 2, 13, 877. Prime factorization of 22802 in exponential form is:

22802 = 2¹ × 13¹ × 877¹

Step-3: Factors of 22789

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

1, 13, 1753

Step-4: Factors of 22802

List of positive integer factors of 22802 that divides 22789 without a remainder.

1, 2, 13, 26, 877, 1754, 11401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22789 and 22802. The biggest common factor number is the GCF number.
So the greatest common factor 22789 and 22802 is 13.

Also check out the Least Common Multiple of 22789 and 22802