What is the Greatest Common Factor of 91965 and 91985?

Greatest common factor (GCF) of 91965 and 91985 is 5.

GCF(91965,91985) = 5

We will now calculate the prime factors of 91965 and 91985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91965 and 91985.

How to find the GCF of 91965 and 91985?

We will first find the prime factorization of 91965 and 91985. After we will calculate the factors of 91965 and 91985 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 91985

Prime factors of 91985 are 5, 18397. Prime factorization of 91985 in exponential form is:

91985 = 5¹ × 18397¹

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 91985

List of positive integer factors of 91985 that divides 91965 without a remainder.

1, 5, 18397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91965 and 91985. The biggest common factor number is the GCF number.
So the greatest common factor 91965 and 91985 is 5.

Also check out the Least Common Multiple of 91965 and 91985