What is the Greatest Common Factor of 59474 and 59478?

Greatest common factor (GCF) of 59474 and 59478 is 2.

GCF(59474,59478) = 2

We will now calculate the prime factors of 59474 and 59478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59474 and 59478.

How to find the GCF of 59474 and 59478?

We will first find the prime factorization of 59474 and 59478. After we will calculate the factors of 59474 and 59478 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 59478

Prime factors of 59478 are 2, 3, 23, 431. Prime factorization of 59478 in exponential form is:

59478 = 2¹ × 3¹ × 23¹ × 431¹

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 59478

List of positive integer factors of 59478 that divides 59474 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 431, 862, 1293, 2586, 9913, 19826, 29739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59474 and 59478. The biggest common factor number is the GCF number.
So the greatest common factor 59474 and 59478 is 2.

Also check out the Least Common Multiple of 59474 and 59478