What is the Greatest Common Factor of 42598 and 42617?

Greatest common factor (GCF) of 42598 and 42617 is 19.

GCF(42598,42617) = 19

We will now calculate the prime factors of 42598 and 42617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42598 and 42617.

How to find the GCF of 42598 and 42617?

We will first find the prime factorization of 42598 and 42617. After we will calculate the factors of 42598 and 42617 and find the biggest common factor number .

Step-1: Prime Factorization of 42598

Prime factors of 42598 are 2, 19, 59. Prime factorization of 42598 in exponential form is:

42598 = 2¹ × 19² × 59¹

Step-2: Prime Factorization of 42617

Prime factors of 42617 are 19, 2243. Prime factorization of 42617 in exponential form is:

42617 = 19¹ × 2243¹

Step-3: Factors of 42598

List of positive integer factors of 42598 that divides 42598 without a remainder.

1, 2, 19, 38, 59, 118, 361, 722, 1121, 2242, 21299

Step-4: Factors of 42617

List of positive integer factors of 42617 that divides 42598 without a remainder.

1, 19, 2243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42598 and 42617. The biggest common factor number is the GCF number.
So the greatest common factor 42598 and 42617 is 19.

Also check out the Least Common Multiple of 42598 and 42617