What is the Greatest Common Factor of 91760 and 91765?

Greatest common factor (GCF) of 91760 and 91765 is 5.

GCF(91760,91765) = 5

We will now calculate the prime factors of 91760 and 91765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91760 and 91765.

How to find the GCF of 91760 and 91765?

We will first find the prime factorization of 91760 and 91765. After we will calculate the factors of 91760 and 91765 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 91765

Prime factors of 91765 are 5, 18353. Prime factorization of 91765 in exponential form is:

91765 = 5¹ × 18353¹

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 91765

List of positive integer factors of 91765 that divides 91760 without a remainder.

1, 5, 18353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91760 and 91765. The biggest common factor number is the GCF number.
So the greatest common factor 91760 and 91765 is 5.

Also check out the Least Common Multiple of 91760 and 91765