What is the Greatest Common Factor of 91952 and 91966?

Greatest common factor (GCF) of 91952 and 91966 is 14.

GCF(91952,91966) = 14

We will now calculate the prime factors of 91952 and 91966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91952 and 91966.

How to find the GCF of 91952 and 91966?

We will first find the prime factorization of 91952 and 91966. After we will calculate the factors of 91952 and 91966 and find the biggest common factor number .

Step-1: Prime Factorization of 91952

Prime factors of 91952 are 2, 7, 821. Prime factorization of 91952 in exponential form is:

91952 = 2⁴ × 7¹ × 821¹

Step-2: 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-3: Factors of 91952

List of positive integer factors of 91952 that divides 91952 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 821, 1642, 3284, 5747, 6568, 11494, 13136, 22988, 45976

Step-4: Factors of 91966

List of positive integer factors of 91966 that divides 91952 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91952 and 91966. The biggest common factor number is the GCF number.
So the greatest common factor 91952 and 91966 is 14.

Also check out the Least Common Multiple of 91952 and 91966