What is the Greatest Common Factor of 93760 and 93776?

Greatest common factor (GCF) of 93760 and 93776 is 16.

GCF(93760,93776) = 16

We will now calculate the prime factors of 93760 and 93776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93760 and 93776.

How to find the GCF of 93760 and 93776?

We will first find the prime factorization of 93760 and 93776. After we will calculate the factors of 93760 and 93776 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 93776

Prime factors of 93776 are 2, 5861. Prime factorization of 93776 in exponential form is:

93776 = 2⁴ × 5861¹

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 93776

List of positive integer factors of 93776 that divides 93760 without a remainder.

1, 2, 4, 8, 16, 5861, 11722, 23444, 46888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93760 and 93776. The biggest common factor number is the GCF number.
So the greatest common factor 93760 and 93776 is 16.

Also check out the Least Common Multiple of 93760 and 93776