What is the Greatest Common Factor of 93680 and 93692?

Greatest common factor (GCF) of 93680 and 93692 is 4.

GCF(93680,93692) = 4

We will now calculate the prime factors of 93680 and 93692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93680 and 93692.

How to find the GCF of 93680 and 93692?

We will first find the prime factorization of 93680 and 93692. After we will calculate the factors of 93680 and 93692 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 93692

Prime factors of 93692 are 2, 59, 397. Prime factorization of 93692 in exponential form is:

93692 = 2² × 59¹ × 397¹

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 93692

List of positive integer factors of 93692 that divides 93680 without a remainder.

1, 2, 4, 59, 118, 236, 397, 794, 1588, 23423, 46846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93680 and 93692. The biggest common factor number is the GCF number.
So the greatest common factor 93680 and 93692 is 4.

Also check out the Least Common Multiple of 93680 and 93692