What is the Greatest Common Factor of 59478 and 59498?

Greatest common factor (GCF) of 59478 and 59498 is 2.

GCF(59478,59498) = 2

We will now calculate the prime factors of 59478 and 59498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59478 and 59498.

How to find the GCF of 59478 and 59498?

We will first find the prime factorization of 59478 and 59498. After we will calculate the factors of 59478 and 59498 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59498

Prime factors of 59498 are 2, 71, 419. Prime factorization of 59498 in exponential form is:

59498 = 2¹ × 71¹ × 419¹

Step-3: Factors of 59478

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

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

Step-4: Factors of 59498

List of positive integer factors of 59498 that divides 59478 without a remainder.

1, 2, 71, 142, 419, 838, 29749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59478 and 59498. The biggest common factor number is the GCF number.
So the greatest common factor 59478 and 59498 is 2.

Also check out the Least Common Multiple of 59478 and 59498