What is the Greatest Common Factor of 91760 and 91775?

Greatest common factor (GCF) of 91760 and 91775 is 5.

GCF(91760,91775) = 5

We will now calculate the prime factors of 91760 and 91775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91760 and 91775.

How to find the GCF of 91760 and 91775?

We will first find the prime factorization of 91760 and 91775. After we will calculate the factors of 91760 and 91775 and find the biggest common factor number .

Step-1: Prime Factorization of 91760

Prime factors of 91760 are 2, 5, 31, 37. Prime factorization of 91760 in exponential form is:

91760 = 2⁴ × 5¹ × 31¹ × 37¹

Step-2: Prime Factorization of 91775

Prime factors of 91775 are 5, 3671. Prime factorization of 91775 in exponential form is:

91775 = 5² × 3671¹

Step-3: Factors of 91760

List of positive integer factors of 91760 that divides 91760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 31, 37, 40, 62, 74, 80, 124, 148, 155, 185, 248, 296, 310, 370, 496, 592, 620, 740, 1147, 1240, 1480, 2294, 2480, 2960, 4588, 5735, 9176, 11470, 18352, 22940, 45880

Step-4: Factors of 91775

List of positive integer factors of 91775 that divides 91760 without a remainder.

1, 5, 25, 3671, 18355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91760 and 91775. The biggest common factor number is the GCF number.
So the greatest common factor 91760 and 91775 is 5.

Also check out the Least Common Multiple of 91760 and 91775