What is the Greatest Common Factor of 93680 and 93694?

Greatest common factor (GCF) of 93680 and 93694 is 2.

GCF(93680,93694) = 2

We will now calculate the prime factors of 93680 and 93694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93680 and 93694.

How to find the GCF of 93680 and 93694?

We will first find the prime factorization of 93680 and 93694. After we will calculate the factors of 93680 and 93694 and find the biggest common factor number .

Step-1: Prime Factorization of 93680

Prime factors of 93680 are 2, 5, 1171. Prime factorization of 93680 in exponential form is:

93680 = 2⁴ × 5¹ × 1171¹

Step-2: Prime Factorization of 93694

Prime factors of 93694 are 2, 79, 593. Prime factorization of 93694 in exponential form is:

93694 = 2¹ × 79¹ × 593¹

Step-3: Factors of 93680

List of positive integer factors of 93680 that divides 93680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1171, 2342, 4684, 5855, 9368, 11710, 18736, 23420, 46840

Step-4: Factors of 93694

List of positive integer factors of 93694 that divides 93680 without a remainder.

1, 2, 79, 158, 593, 1186, 46847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93680 and 93694. The biggest common factor number is the GCF number.
So the greatest common factor 93680 and 93694 is 2.

Also check out the Least Common Multiple of 93680 and 93694