What is the Greatest Common Factor of 93760 and 93768?

Greatest common factor (GCF) of 93760 and 93768 is 8.

GCF(93760,93768) = 8

We will now calculate the prime factors of 93760 and 93768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93760 and 93768.

How to find the GCF of 93760 and 93768?

We will first find the prime factorization of 93760 and 93768. After we will calculate the factors of 93760 and 93768 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 93768

Prime factors of 93768 are 2, 3, 3907. Prime factorization of 93768 in exponential form is:

93768 = 2³ × 3¹ × 3907¹

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 93768

List of positive integer factors of 93768 that divides 93760 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3907, 7814, 11721, 15628, 23442, 31256, 46884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93760 and 93768. The biggest common factor number is the GCF number.
So the greatest common factor 93760 and 93768 is 8.

Also check out the Least Common Multiple of 93760 and 93768