What is the Greatest Common Factor of 9314 and 9322?

Greatest common factor (GCF) of 9314 and 9322 is 2.

GCF(9314,9322) = 2

We will now calculate the prime factors of 9314 and 9322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9314 and 9322.

How to find the GCF of 9314 and 9322?

We will first find the prime factorization of 9314 and 9322. After we will calculate the factors of 9314 and 9322 and find the biggest common factor number .

Step-1: Prime Factorization of 9314

Prime factors of 9314 are 2, 4657. Prime factorization of 9314 in exponential form is:

9314 = 2¹ × 4657¹

Step-2: Prime Factorization of 9322

Prime factors of 9322 are 2, 59, 79. Prime factorization of 9322 in exponential form is:

9322 = 2¹ × 59¹ × 79¹

Step-3: Factors of 9314

List of positive integer factors of 9314 that divides 9314 without a remainder.

1, 2, 4657

Step-4: Factors of 9322

List of positive integer factors of 9322 that divides 9314 without a remainder.

1, 2, 59, 79, 118, 158, 4661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9314 and 9322. The biggest common factor number is the GCF number.
So the greatest common factor 9314 and 9322 is 2.

Also check out the Least Common Multiple of 9314 and 9322