What is the Greatest Common Factor of 22314 and 22334?

Greatest common factor (GCF) of 22314 and 22334 is 2.

GCF(22314,22334) = 2

We will now calculate the prime factors of 22314 and 22334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22314 and 22334.

How to find the GCF of 22314 and 22334?

We will first find the prime factorization of 22314 and 22334. After we will calculate the factors of 22314 and 22334 and find the biggest common factor number .

Step-1: Prime Factorization of 22314

Prime factors of 22314 are 2, 3, 3719. Prime factorization of 22314 in exponential form is:

22314 = 2¹ × 3¹ × 3719¹

Step-2: Prime Factorization of 22334

Prime factors of 22334 are 2, 13, 859. Prime factorization of 22334 in exponential form is:

22334 = 2¹ × 13¹ × 859¹

Step-3: Factors of 22314

List of positive integer factors of 22314 that divides 22314 without a remainder.

1, 2, 3, 6, 3719, 7438, 11157

Step-4: Factors of 22334

List of positive integer factors of 22334 that divides 22314 without a remainder.

1, 2, 13, 26, 859, 1718, 11167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22314 and 22334. The biggest common factor number is the GCF number.
So the greatest common factor 22314 and 22334 is 2.

Also check out the Least Common Multiple of 22314 and 22334