What is the Greatest Common Factor of 42561 and 42579?

Greatest common factor (GCF) of 42561 and 42579 is 9.

GCF(42561,42579) = 9

We will now calculate the prime factors of 42561 and 42579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42561 and 42579.

How to find the GCF of 42561 and 42579?

We will first find the prime factorization of 42561 and 42579. After we will calculate the factors of 42561 and 42579 and find the biggest common factor number .

Step-1: Prime Factorization of 42561

Prime factors of 42561 are 3, 4729. Prime factorization of 42561 in exponential form is:

42561 = 3² × 4729¹

Step-2: 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-3: Factors of 42561

List of positive integer factors of 42561 that divides 42561 without a remainder.

1, 3, 9, 4729, 14187

Step-4: Factors of 42579

List of positive integer factors of 42579 that divides 42561 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42561 and 42579. The biggest common factor number is the GCF number.
So the greatest common factor 42561 and 42579 is 9.

Also check out the Least Common Multiple of 42561 and 42579