What is the Greatest Common Factor of 42579 and 42598?

Greatest common factor (GCF) of 42579 and 42598 is 19.

GCF(42579,42598) = 19

We will now calculate the prime factors of 42579 and 42598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42579 and 42598.

How to find the GCF of 42579 and 42598?

We will first find the prime factorization of 42579 and 42598. After we will calculate the factors of 42579 and 42598 and find the biggest common factor number .

Step-1: Prime Factorization of 42579

Prime factors of 42579 are 3, 19, 83. Prime factorization of 42579 in exponential form is:

42579 = 3³ × 19¹ × 83¹

Step-2: 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-3: Factors of 42579

List of positive integer factors of 42579 that divides 42579 without a remainder.

1, 3, 9, 19, 27, 57, 83, 171, 249, 513, 747, 1577, 2241, 4731, 14193

Step-4: Factors of 42598

List of positive integer factors of 42598 that divides 42579 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42579 and 42598. The biggest common factor number is the GCF number.
So the greatest common factor 42579 and 42598 is 19.

Also check out the Least Common Multiple of 42579 and 42598