What is the Greatest Common Factor of 93920 and 93926?

Greatest common factor (GCF) of 93920 and 93926 is 2.

GCF(93920,93926) = 2

We will now calculate the prime factors of 93920 and 93926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93920 and 93926.

How to find the GCF of 93920 and 93926?

We will first find the prime factorization of 93920 and 93926. After we will calculate the factors of 93920 and 93926 and find the biggest common factor number .

Step-1: Prime Factorization of 93920

Prime factors of 93920 are 2, 5, 587. Prime factorization of 93920 in exponential form is:

93920 = 2⁵ × 5¹ × 587¹

Step-2: Prime Factorization of 93926

Prime factors of 93926 are 2, 7, 6709. Prime factorization of 93926 in exponential form is:

93926 = 2¹ × 7¹ × 6709¹

Step-3: Factors of 93920

List of positive integer factors of 93920 that divides 93920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 587, 1174, 2348, 2935, 4696, 5870, 9392, 11740, 18784, 23480, 46960

Step-4: Factors of 93926

List of positive integer factors of 93926 that divides 93920 without a remainder.

1, 2, 7, 14, 6709, 13418, 46963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93920 and 93926. The biggest common factor number is the GCF number.
So the greatest common factor 93920 and 93926 is 2.

Also check out the Least Common Multiple of 93920 and 93926