What is the Greatest Common Factor of 42698 and 42709?

Greatest common factor (GCF) of 42698 and 42709 is 1.

GCF(42698,42709) = 1

We will now calculate the prime factors of 42698 and 42709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42698 and 42709.

How to find the GCF of 42698 and 42709?

We will first find the prime factorization of 42698 and 42709. After we will calculate the factors of 42698 and 42709 and find the biggest common factor number .

Step-1: Prime Factorization of 42698

Prime factors of 42698 are 2, 37, 577. Prime factorization of 42698 in exponential form is:

42698 = 2¹ × 37¹ × 577¹

Step-2: Prime Factorization of 42709

Prime factors of 42709 are 42709. Prime factorization of 42709 in exponential form is:

42709 = 42709¹

Step-3: Factors of 42698

List of positive integer factors of 42698 that divides 42698 without a remainder.

1, 2, 37, 74, 577, 1154, 21349

Step-4: Factors of 42709

List of positive integer factors of 42709 that divides 42698 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42698 and 42709. The biggest common factor number is the GCF number.
So the greatest common factor 42698 and 42709 is 1.

Also check out the Least Common Multiple of 42698 and 42709