What is the Greatest Common Factor of 91952 and 91959?

Greatest common factor (GCF) of 91952 and 91959 is 7.

GCF(91952,91959) = 7

We will now calculate the prime factors of 91952 and 91959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91952 and 91959.

How to find the GCF of 91952 and 91959?

We will first find the prime factorization of 91952 and 91959. After we will calculate the factors of 91952 and 91959 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 91959

Prime factors of 91959 are 3, 7, 29, 151. Prime factorization of 91959 in exponential form is:

91959 = 3¹ × 7¹ × 29¹ × 151¹

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 91959

List of positive integer factors of 91959 that divides 91952 without a remainder.

1, 3, 7, 21, 29, 87, 151, 203, 453, 609, 1057, 3171, 4379, 13137, 30653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91952 and 91959. The biggest common factor number is the GCF number.
So the greatest common factor 91952 and 91959 is 7.

Also check out the Least Common Multiple of 91952 and 91959