What is the Greatest Common Factor of 91952 and 91962?

Greatest common factor (GCF) of 91952 and 91962 is 2.

GCF(91952,91962) = 2

We will now calculate the prime factors of 91952 and 91962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91952 and 91962.

How to find the GCF of 91952 and 91962?

We will first find the prime factorization of 91952 and 91962. After we will calculate the factors of 91952 and 91962 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 91962

Prime factors of 91962 are 2, 3, 13, 131. Prime factorization of 91962 in exponential form is:

91962 = 2¹ × 3³ × 13¹ × 131¹

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 91962

List of positive integer factors of 91962 that divides 91952 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 131, 234, 262, 351, 393, 702, 786, 1179, 1703, 2358, 3406, 3537, 5109, 7074, 10218, 15327, 30654, 45981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91952 and 91962. The biggest common factor number is the GCF number.
So the greatest common factor 91952 and 91962 is 2.

Also check out the Least Common Multiple of 91952 and 91962