What is the Greatest Common Factor of 22249 and 22268?

Greatest common factor (GCF) of 22249 and 22268 is 19.

GCF(22249,22268) = 19

We will now calculate the prime factors of 22249 and 22268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22249 and 22268.

How to find the GCF of 22249 and 22268?

We will first find the prime factorization of 22249 and 22268. After we will calculate the factors of 22249 and 22268 and find the biggest common factor number .

Step-1: Prime Factorization of 22249

Prime factors of 22249 are 19, 1171. Prime factorization of 22249 in exponential form is:

22249 = 19¹ × 1171¹

Step-2: Prime Factorization of 22268

Prime factors of 22268 are 2, 19, 293. Prime factorization of 22268 in exponential form is:

22268 = 2² × 19¹ × 293¹

Step-3: Factors of 22249

List of positive integer factors of 22249 that divides 22249 without a remainder.

1, 19, 1171

Step-4: Factors of 22268

List of positive integer factors of 22268 that divides 22249 without a remainder.

1, 2, 4, 19, 38, 76, 293, 586, 1172, 5567, 11134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22249 and 22268. The biggest common factor number is the GCF number.
So the greatest common factor 22249 and 22268 is 19.

Also check out the Least Common Multiple of 22249 and 22268