What is the Greatest Common Factor of 93760 and 93772?

Greatest common factor (GCF) of 93760 and 93772 is 4.

GCF(93760,93772) = 4

We will now calculate the prime factors of 93760 and 93772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93760 and 93772.

How to find the GCF of 93760 and 93772?

We will first find the prime factorization of 93760 and 93772. After we will calculate the factors of 93760 and 93772 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 93772

Prime factors of 93772 are 2, 7, 17, 197. Prime factorization of 93772 in exponential form is:

93772 = 2² × 7¹ × 17¹ × 197¹

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 93772

List of positive integer factors of 93772 that divides 93760 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 197, 238, 394, 476, 788, 1379, 2758, 3349, 5516, 6698, 13396, 23443, 46886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93760 and 93772. The biggest common factor number is the GCF number.
So the greatest common factor 93760 and 93772 is 4.

Also check out the Least Common Multiple of 93760 and 93772