What is the Greatest Common Factor of 91965 and 91975?

Greatest common factor (GCF) of 91965 and 91975 is 5.

GCF(91965,91975) = 5

We will now calculate the prime factors of 91965 and 91975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91965 and 91975.

How to find the GCF of 91965 and 91975?

We will first find the prime factorization of 91965 and 91975. After we will calculate the factors of 91965 and 91975 and find the biggest common factor number .

Step-1: Prime Factorization of 91965

Prime factors of 91965 are 3, 5, 6131. Prime factorization of 91965 in exponential form is:

91965 = 3¹ × 5¹ × 6131¹

Step-2: Prime Factorization of 91975

Prime factors of 91975 are 5, 13, 283. Prime factorization of 91975 in exponential form is:

91975 = 5² × 13¹ × 283¹

Step-3: Factors of 91965

List of positive integer factors of 91965 that divides 91965 without a remainder.

1, 3, 5, 15, 6131, 18393, 30655

Step-4: Factors of 91975

List of positive integer factors of 91975 that divides 91965 without a remainder.

1, 5, 13, 25, 65, 283, 325, 1415, 3679, 7075, 18395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91965 and 91975. The biggest common factor number is the GCF number.
So the greatest common factor 91965 and 91975 is 5.

Also check out the Least Common Multiple of 91965 and 91975