What is the Greatest Common Factor of 91952 and 91970?

Greatest common factor (GCF) of 91952 and 91970 is 2.

GCF(91952,91970) = 2

We will now calculate the prime factors of 91952 and 91970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91952 and 91970.

How to find the GCF of 91952 and 91970?

We will first find the prime factorization of 91952 and 91970. After we will calculate the factors of 91952 and 91970 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 91970

Prime factors of 91970 are 2, 5, 17, 541. Prime factorization of 91970 in exponential form is:

91970 = 2¹ × 5¹ × 17¹ × 541¹

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 91970

List of positive integer factors of 91970 that divides 91952 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 541, 1082, 2705, 5410, 9197, 18394, 45985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91952 and 91970. The biggest common factor number is the GCF number.
So the greatest common factor 91952 and 91970 is 2.

Also check out the Least Common Multiple of 91952 and 91970