What is the Greatest Common Factor of 91930 and 91950?

Greatest common factor (GCF) of 91930 and 91950 is 10.

GCF(91930,91950) = 10

We will now calculate the prime factors of 91930 and 91950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91930 and 91950.

How to find the GCF of 91930 and 91950?

We will first find the prime factorization of 91930 and 91950. After we will calculate the factors of 91930 and 91950 and find the biggest common factor number .

Step-1: Prime Factorization of 91930

Prime factors of 91930 are 2, 5, 29, 317. Prime factorization of 91930 in exponential form is:

91930 = 2¹ × 5¹ × 29¹ × 317¹

Step-2: Prime Factorization of 91950

Prime factors of 91950 are 2, 3, 5, 613. Prime factorization of 91950 in exponential form is:

91950 = 2¹ × 3¹ × 5² × 613¹

Step-3: Factors of 91930

List of positive integer factors of 91930 that divides 91930 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290, 317, 634, 1585, 3170, 9193, 18386, 45965

Step-4: Factors of 91950

List of positive integer factors of 91950 that divides 91930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 613, 1226, 1839, 3065, 3678, 6130, 9195, 15325, 18390, 30650, 45975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91930 and 91950. The biggest common factor number is the GCF number.
So the greatest common factor 91930 and 91950 is 10.

Also check out the Least Common Multiple of 91930 and 91950