What is the Greatest Common Factor of 22251 and 22266?

Greatest common factor (GCF) of 22251 and 22266 is 3.

GCF(22251,22266) = 3

We will now calculate the prime factors of 22251 and 22266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22251 and 22266.

How to find the GCF of 22251 and 22266?

We will first find the prime factorization of 22251 and 22266. After we will calculate the factors of 22251 and 22266 and find the biggest common factor number .

Step-1: Prime Factorization of 22251

Prime factors of 22251 are 3, 7417. Prime factorization of 22251 in exponential form is:

22251 = 3¹ × 7417¹

Step-2: Prime Factorization of 22266

Prime factors of 22266 are 2, 3, 1237. Prime factorization of 22266 in exponential form is:

22266 = 2¹ × 3² × 1237¹

Step-3: Factors of 22251

List of positive integer factors of 22251 that divides 22251 without a remainder.

1, 3, 7417

Step-4: Factors of 22266

List of positive integer factors of 22266 that divides 22251 without a remainder.

1, 2, 3, 6, 9, 18, 1237, 2474, 3711, 7422, 11133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22251 and 22266. The biggest common factor number is the GCF number.
So the greatest common factor 22251 and 22266 is 3.

Also check out the Least Common Multiple of 22251 and 22266