What is the Greatest Common Factor of 91966 and 91982?

Greatest common factor (GCF) of 91966 and 91982 is 2.

GCF(91966,91982) = 2

We will now calculate the prime factors of 91966 and 91982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91966 and 91982.

How to find the GCF of 91966 and 91982?

We will first find the prime factorization of 91966 and 91982. After we will calculate the factors of 91966 and 91982 and find the biggest common factor number .

Step-1: Prime Factorization of 91966

Prime factors of 91966 are 2, 7, 6569. Prime factorization of 91966 in exponential form is:

91966 = 2¹ × 7¹ × 6569¹

Step-2: Prime Factorization of 91982

Prime factors of 91982 are 2, 11, 37, 113. Prime factorization of 91982 in exponential form is:

91982 = 2¹ × 11¹ × 37¹ × 113¹

Step-3: Factors of 91966

List of positive integer factors of 91966 that divides 91966 without a remainder.

1, 2, 7, 14, 6569, 13138, 45983

Step-4: Factors of 91982

List of positive integer factors of 91982 that divides 91966 without a remainder.

1, 2, 11, 22, 37, 74, 113, 226, 407, 814, 1243, 2486, 4181, 8362, 45991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91966 and 91982. The biggest common factor number is the GCF number.
So the greatest common factor 91966 and 91982 is 2.

Also check out the Least Common Multiple of 91966 and 91982