What is the Greatest Common Factor of 22671 and 22682?

Greatest common factor (GCF) of 22671 and 22682 is 11.

GCF(22671,22682) = 11

We will now calculate the prime factors of 22671 and 22682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22671 and 22682.

How to find the GCF of 22671 and 22682?

We will first find the prime factorization of 22671 and 22682. After we will calculate the factors of 22671 and 22682 and find the biggest common factor number .

Step-1: Prime Factorization of 22671

Prime factors of 22671 are 3, 11, 229. Prime factorization of 22671 in exponential form is:

22671 = 3² × 11¹ × 229¹

Step-2: Prime Factorization of 22682

Prime factors of 22682 are 2, 11, 1031. Prime factorization of 22682 in exponential form is:

22682 = 2¹ × 11¹ × 1031¹

Step-3: Factors of 22671

List of positive integer factors of 22671 that divides 22671 without a remainder.

1, 3, 9, 11, 33, 99, 229, 687, 2061, 2519, 7557

Step-4: Factors of 22682

List of positive integer factors of 22682 that divides 22671 without a remainder.

1, 2, 11, 22, 1031, 2062, 11341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22671 and 22682. The biggest common factor number is the GCF number.
So the greatest common factor 22671 and 22682 is 11.

Also check out the Least Common Multiple of 22671 and 22682