What is the Greatest Common Factor of 42635 and 42642?

Greatest common factor (GCF) of 42635 and 42642 is 1.

GCF(42635,42642) = 1

We will now calculate the prime factors of 42635 and 42642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42635 and 42642.

How to find the GCF of 42635 and 42642?

We will first find the prime factorization of 42635 and 42642. After we will calculate the factors of 42635 and 42642 and find the biggest common factor number .

Step-1: Prime Factorization of 42635

Prime factors of 42635 are 5, 8527. Prime factorization of 42635 in exponential form is:

42635 = 5¹ × 8527¹

Step-2: 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-3: Factors of 42635

List of positive integer factors of 42635 that divides 42635 without a remainder.

1, 5, 8527

Step-4: Factors of 42642

List of positive integer factors of 42642 that divides 42635 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42635 and 42642. The biggest common factor number is the GCF number.
So the greatest common factor 42635 and 42642 is 1.

Also check out the Least Common Multiple of 42635 and 42642