What is the Greatest Common Factor of 93760 and 93780?

Greatest common factor (GCF) of 93760 and 93780 is 20.

GCF(93760,93780) = 20

We will now calculate the prime factors of 93760 and 93780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93760 and 93780.

How to find the GCF of 93760 and 93780?

We will first find the prime factorization of 93760 and 93780. After we will calculate the factors of 93760 and 93780 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 93780

Prime factors of 93780 are 2, 3, 5, 521. Prime factorization of 93780 in exponential form is:

93780 = 2² × 3² × 5¹ × 521¹

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 93780

List of positive integer factors of 93780 that divides 93760 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 521, 1042, 1563, 2084, 2605, 3126, 4689, 5210, 6252, 7815, 9378, 10420, 15630, 18756, 23445, 31260, 46890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93760 and 93780. The biggest common factor number is the GCF number.
So the greatest common factor 93760 and 93780 is 20.

Also check out the Least Common Multiple of 93760 and 93780