What is the Greatest Common Factor of 52314 and 52324?

Greatest common factor (GCF) of 52314 and 52324 is 2.

GCF(52314,52324) = 2

We will now calculate the prime factors of 52314 and 52324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52314 and 52324.

How to find the GCF of 52314 and 52324?

We will first find the prime factorization of 52314 and 52324. After we will calculate the factors of 52314 and 52324 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 52324

Prime factors of 52324 are 2, 103, 127. Prime factorization of 52324 in exponential form is:

52324 = 2² × 103¹ × 127¹

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 52324

List of positive integer factors of 52324 that divides 52314 without a remainder.

1, 2, 4, 103, 127, 206, 254, 412, 508, 13081, 26162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52314 and 52324. The biggest common factor number is the GCF number.
So the greatest common factor 52314 and 52324 is 2.

Also check out the Least Common Multiple of 52314 and 52324