What is the Greatest Common Factor of 52314 and 52322?

Greatest common factor (GCF) of 52314 and 52322 is 2.

GCF(52314,52322) = 2

We will now calculate the prime factors of 52314 and 52322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52314 and 52322.

How to find the GCF of 52314 and 52322?

We will first find the prime factorization of 52314 and 52322. After we will calculate the factors of 52314 and 52322 and find the biggest common factor number .

Step-1: Prime Factorization of 52314

Prime factors of 52314 are 2, 3, 8719. Prime factorization of 52314 in exponential form is:

52314 = 2¹ × 3¹ × 8719¹

Step-2: Prime Factorization of 52322

Prime factors of 52322 are 2, 26161. Prime factorization of 52322 in exponential form is:

52322 = 2¹ × 26161¹

Step-3: Factors of 52314

List of positive integer factors of 52314 that divides 52314 without a remainder.

1, 2, 3, 6, 8719, 17438, 26157

Step-4: Factors of 52322

List of positive integer factors of 52322 that divides 52314 without a remainder.

1, 2, 26161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52314 and 52322. The biggest common factor number is the GCF number.
So the greatest common factor 52314 and 52322 is 2.

Also check out the Least Common Multiple of 52314 and 52322