What is the Greatest Common Factor of 42602 and 42619?

Greatest common factor (GCF) of 42602 and 42619 is 17.

GCF(42602,42619) = 17

We will now calculate the prime factors of 42602 and 42619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42602 and 42619.

How to find the GCF of 42602 and 42619?

We will first find the prime factorization of 42602 and 42619. After we will calculate the factors of 42602 and 42619 and find the biggest common factor number .

Step-1: Prime Factorization of 42602

Prime factors of 42602 are 2, 7, 17, 179. Prime factorization of 42602 in exponential form is:

42602 = 2¹ × 7¹ × 17¹ × 179¹

Step-2: Prime Factorization of 42619

Prime factors of 42619 are 17, 23, 109. Prime factorization of 42619 in exponential form is:

42619 = 17¹ × 23¹ × 109¹

Step-3: Factors of 42602

List of positive integer factors of 42602 that divides 42602 without a remainder.

1, 2, 7, 14, 17, 34, 119, 179, 238, 358, 1253, 2506, 3043, 6086, 21301

Step-4: Factors of 42619

List of positive integer factors of 42619 that divides 42602 without a remainder.

1, 17, 23, 109, 391, 1853, 2507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42602 and 42619. The biggest common factor number is the GCF number.
So the greatest common factor 42602 and 42619 is 17.

Also check out the Least Common Multiple of 42602 and 42619