What is the Greatest Common Factor of 91630 and 91642?

Greatest common factor (GCF) of 91630 and 91642 is 2.

GCF(91630,91642) = 2

We will now calculate the prime factors of 91630 and 91642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91630 and 91642.

How to find the GCF of 91630 and 91642?

We will first find the prime factorization of 91630 and 91642. After we will calculate the factors of 91630 and 91642 and find the biggest common factor number .

Step-1: Prime Factorization of 91630

Prime factors of 91630 are 2, 5, 7, 11, 17. Prime factorization of 91630 in exponential form is:

91630 = 2¹ × 5¹ × 7² × 11¹ × 17¹

Step-2: Prime Factorization of 91642

Prime factors of 91642 are 2, 45821. Prime factorization of 91642 in exponential form is:

91642 = 2¹ × 45821¹

Step-3: Factors of 91630

List of positive integer factors of 91630 that divides 91630 without a remainder.

1, 2, 5, 7, 10, 11, 14, 17, 22, 34, 35, 49, 55, 70, 77, 85, 98, 110, 119, 154, 170, 187, 238, 245, 374, 385, 490, 539, 595, 770, 833, 935, 1078, 1190, 1309, 1666, 1870, 2618, 2695, 4165, 5390, 6545, 8330, 9163, 13090, 18326, 45815

Step-4: Factors of 91642

List of positive integer factors of 91642 that divides 91630 without a remainder.

1, 2, 45821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91630 and 91642. The biggest common factor number is the GCF number.
So the greatest common factor 91630 and 91642 is 2.

Also check out the Least Common Multiple of 91630 and 91642