What is the Greatest Common Factor of 56314 and 56324?

Greatest common factor (GCF) of 56314 and 56324 is 2.

GCF(56314,56324) = 2

We will now calculate the prime factors of 56314 and 56324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56314 and 56324.

How to find the GCF of 56314 and 56324?

We will first find the prime factorization of 56314 and 56324. After we will calculate the factors of 56314 and 56324 and find the biggest common factor number .

Step-1: Prime Factorization of 56314

Prime factors of 56314 are 2, 37, 761. Prime factorization of 56314 in exponential form is:

56314 = 2¹ × 37¹ × 761¹

Step-2: Prime Factorization of 56324

Prime factors of 56324 are 2, 14081. Prime factorization of 56324 in exponential form is:

56324 = 2² × 14081¹

Step-3: Factors of 56314

List of positive integer factors of 56314 that divides 56314 without a remainder.

1, 2, 37, 74, 761, 1522, 28157

Step-4: Factors of 56324

List of positive integer factors of 56324 that divides 56314 without a remainder.

1, 2, 4, 14081, 28162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56314 and 56324. The biggest common factor number is the GCF number.
So the greatest common factor 56314 and 56324 is 2.

Also check out the Least Common Multiple of 56314 and 56324