What is the Greatest Common Factor of 59474 and 59482?

Greatest common factor (GCF) of 59474 and 59482 is 2.

GCF(59474,59482) = 2

We will now calculate the prime factors of 59474 and 59482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59474 and 59482.

How to find the GCF of 59474 and 59482?

We will first find the prime factorization of 59474 and 59482. After we will calculate the factors of 59474 and 59482 and find the biggest common factor number .

Step-1: Prime Factorization of 59474

Prime factors of 59474 are 2, 131, 227. Prime factorization of 59474 in exponential form is:

59474 = 2¹ × 131¹ × 227¹

Step-2: Prime Factorization of 59482

Prime factors of 59482 are 2, 29741. Prime factorization of 59482 in exponential form is:

59482 = 2¹ × 29741¹

Step-3: Factors of 59474

List of positive integer factors of 59474 that divides 59474 without a remainder.

1, 2, 131, 227, 262, 454, 29737

Step-4: Factors of 59482

List of positive integer factors of 59482 that divides 59474 without a remainder.

1, 2, 29741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59474 and 59482. The biggest common factor number is the GCF number.
So the greatest common factor 59474 and 59482 is 2.

Also check out the Least Common Multiple of 59474 and 59482