What is the Greatest Common Factor of 59474 and 59492?

Greatest common factor (GCF) of 59474 and 59492 is 2.

GCF(59474,59492) = 2

We will now calculate the prime factors of 59474 and 59492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59474 and 59492.

How to find the GCF of 59474 and 59492?

We will first find the prime factorization of 59474 and 59492. After we will calculate the factors of 59474 and 59492 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 59492

Prime factors of 59492 are 2, 107, 139. Prime factorization of 59492 in exponential form is:

59492 = 2² × 107¹ × 139¹

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 59492

List of positive integer factors of 59492 that divides 59474 without a remainder.

1, 2, 4, 107, 139, 214, 278, 428, 556, 14873, 29746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59474 and 59492. The biggest common factor number is the GCF number.
So the greatest common factor 59474 and 59492 is 2.

Also check out the Least Common Multiple of 59474 and 59492