What is the Greatest Common Factor of 42702 and 42717?

Greatest common factor (GCF) of 42702 and 42717 is 3.

GCF(42702,42717) = 3

We will now calculate the prime factors of 42702 and 42717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42702 and 42717.

How to find the GCF of 42702 and 42717?

We will first find the prime factorization of 42702 and 42717. After we will calculate the factors of 42702 and 42717 and find the biggest common factor number .

Step-1: Prime Factorization of 42702

Prime factors of 42702 are 2, 3, 11, 647. Prime factorization of 42702 in exponential form is:

42702 = 2¹ × 3¹ × 11¹ × 647¹

Step-2: Prime Factorization of 42717

Prime factors of 42717 are 3, 29, 491. Prime factorization of 42717 in exponential form is:

42717 = 3¹ × 29¹ × 491¹

Step-3: Factors of 42702

List of positive integer factors of 42702 that divides 42702 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 647, 1294, 1941, 3882, 7117, 14234, 21351

Step-4: Factors of 42717

List of positive integer factors of 42717 that divides 42702 without a remainder.

1, 3, 29, 87, 491, 1473, 14239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42702 and 42717. The biggest common factor number is the GCF number.
So the greatest common factor 42702 and 42717 is 3.

Also check out the Least Common Multiple of 42702 and 42717