What is the Greatest Common Factor of 91931 and 91945?

Greatest common factor (GCF) of 91931 and 91945 is 7.

GCF(91931,91945) = 7

We will now calculate the prime factors of 91931 and 91945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91931 and 91945.

How to find the GCF of 91931 and 91945?

We will first find the prime factorization of 91931 and 91945. After we will calculate the factors of 91931 and 91945 and find the biggest common factor number .

Step-1: Prime Factorization of 91931

Prime factors of 91931 are 7, 23, 571. Prime factorization of 91931 in exponential form is:

91931 = 7¹ × 23¹ × 571¹

Step-2: 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-3: Factors of 91931

List of positive integer factors of 91931 that divides 91931 without a remainder.

1, 7, 23, 161, 571, 3997, 13133

Step-4: Factors of 91945

List of positive integer factors of 91945 that divides 91931 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91931 and 91945. The biggest common factor number is the GCF number.
So the greatest common factor 91931 and 91945 is 7.

Also check out the Least Common Multiple of 91931 and 91945