What is the Greatest Common Factor of 42579 and 42585?

Greatest common factor (GCF) of 42579 and 42585 is 3.

GCF(42579,42585) = 3

We will now calculate the prime factors of 42579 and 42585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42579 and 42585.

How to find the GCF of 42579 and 42585?

We will first find the prime factorization of 42579 and 42585. After we will calculate the factors of 42579 and 42585 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 42585

Prime factors of 42585 are 3, 5, 17, 167. Prime factorization of 42585 in exponential form is:

42585 = 3¹ × 5¹ × 17¹ × 167¹

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 42585

List of positive integer factors of 42585 that divides 42579 without a remainder.

1, 3, 5, 15, 17, 51, 85, 167, 255, 501, 835, 2505, 2839, 8517, 14195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42579 and 42585. The biggest common factor number is the GCF number.
So the greatest common factor 42579 and 42585 is 3.

Also check out the Least Common Multiple of 42579 and 42585