What is the Greatest Common Factor of 91965 and 91971?

Greatest common factor (GCF) of 91965 and 91971 is 3.

GCF(91965,91971) = 3

We will now calculate the prime factors of 91965 and 91971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91965 and 91971.

How to find the GCF of 91965 and 91971?

We will first find the prime factorization of 91965 and 91971. After we will calculate the factors of 91965 and 91971 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 91971

Prime factors of 91971 are 3, 11, 929. Prime factorization of 91971 in exponential form is:

91971 = 3² × 11¹ × 929¹

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 91971

List of positive integer factors of 91971 that divides 91965 without a remainder.

1, 3, 9, 11, 33, 99, 929, 2787, 8361, 10219, 30657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91965 and 91971. The biggest common factor number is the GCF number.
So the greatest common factor 91965 and 91971 is 3.

Also check out the Least Common Multiple of 91965 and 91971