What is the Greatest Common Factor of 91952 and 91971?

Greatest common factor (GCF) of 91952 and 91971 is 1.

GCF(91952,91971) = 1

We will now calculate the prime factors of 91952 and 91971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91952 and 91971.

How to find the GCF of 91952 and 91971?

We will first find the prime factorization of 91952 and 91971. After we will calculate the factors of 91952 and 91971 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 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 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 91971

List of positive integer factors of 91971 that divides 91952 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 91952 and 91971. The biggest common factor number is the GCF number.
So the greatest common factor 91952 and 91971 is 1.

Also check out the Least Common Multiple of 91952 and 91971