What is the Greatest Common Factor of 42642 and 42657?

Greatest common factor (GCF) of 42642 and 42657 is 3.

GCF(42642,42657) = 3

We will now calculate the prime factors of 42642 and 42657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42642 and 42657.

How to find the GCF of 42642 and 42657?

We will first find the prime factorization of 42642 and 42657. After we will calculate the factors of 42642 and 42657 and find the biggest common factor number .

Step-1: Prime Factorization of 42642

Prime factors of 42642 are 2, 3, 23, 103. Prime factorization of 42642 in exponential form is:

42642 = 2¹ × 3² × 23¹ × 103¹

Step-2: Prime Factorization of 42657

Prime factors of 42657 are 3, 59, 241. Prime factorization of 42657 in exponential form is:

42657 = 3¹ × 59¹ × 241¹

Step-3: Factors of 42642

List of positive integer factors of 42642 that divides 42642 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 103, 138, 206, 207, 309, 414, 618, 927, 1854, 2369, 4738, 7107, 14214, 21321

Step-4: Factors of 42657

List of positive integer factors of 42657 that divides 42642 without a remainder.

1, 3, 59, 177, 241, 723, 14219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42642 and 42657. The biggest common factor number is the GCF number.
So the greatest common factor 42642 and 42657 is 3.

Also check out the Least Common Multiple of 42642 and 42657