What is the Greatest Common Factor of 91474 and 91490?

Greatest common factor (GCF) of 91474 and 91490 is 2.

GCF(91474,91490) = 2

We will now calculate the prime factors of 91474 and 91490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91474 and 91490.

How to find the GCF of 91474 and 91490?

We will first find the prime factorization of 91474 and 91490. After we will calculate the factors of 91474 and 91490 and find the biggest common factor number .

Step-1: Prime Factorization of 91474

Prime factors of 91474 are 2, 45737. Prime factorization of 91474 in exponential form is:

91474 = 2¹ × 45737¹

Step-2: Prime Factorization of 91490

Prime factors of 91490 are 2, 5, 7, 1307. Prime factorization of 91490 in exponential form is:

91490 = 2¹ × 5¹ × 7¹ × 1307¹

Step-3: Factors of 91474

List of positive integer factors of 91474 that divides 91474 without a remainder.

1, 2, 45737

Step-4: Factors of 91490

List of positive integer factors of 91490 that divides 91474 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1307, 2614, 6535, 9149, 13070, 18298, 45745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91474 and 91490. The biggest common factor number is the GCF number.
So the greatest common factor 91474 and 91490 is 2.

Also check out the Least Common Multiple of 91474 and 91490