What is the Greatest Common Factor of 91945 and 91952?

Greatest common factor (GCF) of 91945 and 91952 is 7.

GCF(91945,91952) = 7

We will now calculate the prime factors of 91945 and 91952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91945 and 91952.

How to find the GCF of 91945 and 91952?

We will first find the prime factorization of 91945 and 91952. After we will calculate the factors of 91945 and 91952 and find the biggest common factor number .

Step-1: Prime Factorization of 91945

Prime factors of 91945 are 5, 7, 37, 71. Prime factorization of 91945 in exponential form is:

91945 = 5¹ × 7¹ × 37¹ × 71¹

Step-2: 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-3: Factors of 91945

List of positive integer factors of 91945 that divides 91945 without a remainder.

1, 5, 7, 35, 37, 71, 185, 259, 355, 497, 1295, 2485, 2627, 13135, 18389

Step-4: Factors of 91952

List of positive integer factors of 91952 that divides 91945 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91945 and 91952. The biggest common factor number is the GCF number.
So the greatest common factor 91945 and 91952 is 7.

Also check out the Least Common Multiple of 91945 and 91952