What is the Greatest Common Factor of 42702 and 42713?

Greatest common factor (GCF) of 42702 and 42713 is 11.

GCF(42702,42713) = 11

We will now calculate the prime factors of 42702 and 42713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42702 and 42713.

How to find the GCF of 42702 and 42713?

We will first find the prime factorization of 42702 and 42713. After we will calculate the factors of 42702 and 42713 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 42713

Prime factors of 42713 are 11, 353. Prime factorization of 42713 in exponential form is:

42713 = 11² × 353¹

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 42713

List of positive integer factors of 42713 that divides 42702 without a remainder.

1, 11, 121, 353, 3883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42702 and 42713. The biggest common factor number is the GCF number.
So the greatest common factor 42702 and 42713 is 11.

Also check out the Least Common Multiple of 42702 and 42713