What is the Greatest Common Factor of 93760 and 93774?

Greatest common factor (GCF) of 93760 and 93774 is 2.

GCF(93760,93774) = 2

We will now calculate the prime factors of 93760 and 93774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93760 and 93774.

How to find the GCF of 93760 and 93774?

We will first find the prime factorization of 93760 and 93774. After we will calculate the factors of 93760 and 93774 and find the biggest common factor number .

Step-1: Prime Factorization of 93760

Prime factors of 93760 are 2, 5, 293. Prime factorization of 93760 in exponential form is:

93760 = 2⁶ × 5¹ × 293¹

Step-2: Prime Factorization of 93774

Prime factors of 93774 are 2, 3, 15629. Prime factorization of 93774 in exponential form is:

93774 = 2¹ × 3¹ × 15629¹

Step-3: Factors of 93760

List of positive integer factors of 93760 that divides 93760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 293, 320, 586, 1172, 1465, 2344, 2930, 4688, 5860, 9376, 11720, 18752, 23440, 46880

Step-4: Factors of 93774

List of positive integer factors of 93774 that divides 93760 without a remainder.

1, 2, 3, 6, 15629, 31258, 46887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93760 and 93774. The biggest common factor number is the GCF number.
So the greatest common factor 93760 and 93774 is 2.

Also check out the Least Common Multiple of 93760 and 93774