What is the Greatest Common Factor of 93314 and 93320?

Greatest common factor (GCF) of 93314 and 93320 is 2.

GCF(93314,93320) = 2

We will now calculate the prime factors of 93314 and 93320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93314 and 93320.

How to find the GCF of 93314 and 93320?

We will first find the prime factorization of 93314 and 93320. After we will calculate the factors of 93314 and 93320 and find the biggest common factor number .

Step-1: Prime Factorization of 93314

Prime factors of 93314 are 2, 13, 37, 97. Prime factorization of 93314 in exponential form is:

93314 = 2¹ × 13¹ × 37¹ × 97¹

Step-2: Prime Factorization of 93320

Prime factors of 93320 are 2, 5, 2333. Prime factorization of 93320 in exponential form is:

93320 = 2³ × 5¹ × 2333¹

Step-3: Factors of 93314

List of positive integer factors of 93314 that divides 93314 without a remainder.

1, 2, 13, 26, 37, 74, 97, 194, 481, 962, 1261, 2522, 3589, 7178, 46657

Step-4: Factors of 93320

List of positive integer factors of 93320 that divides 93314 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2333, 4666, 9332, 11665, 18664, 23330, 46660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93314 and 93320. The biggest common factor number is the GCF number.
So the greatest common factor 93314 and 93320 is 2.

Also check out the Least Common Multiple of 93314 and 93320