What is the Greatest Common Factor of 8702 and 8714?

Greatest common factor (GCF) of 8702 and 8714 is 2.

GCF(8702,8714) = 2

We will now calculate the prime factors of 8702 and 8714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8702 and 8714.

How to find the GCF of 8702 and 8714?

We will first find the prime factorization of 8702 and 8714. After we will calculate the factors of 8702 and 8714 and find the biggest common factor number .

Step-1: Prime Factorization of 8702

Prime factors of 8702 are 2, 19, 229. Prime factorization of 8702 in exponential form is:

8702 = 2¹ × 19¹ × 229¹

Step-2: Prime Factorization of 8714

Prime factors of 8714 are 2, 4357. Prime factorization of 8714 in exponential form is:

8714 = 2¹ × 4357¹

Step-3: Factors of 8702

List of positive integer factors of 8702 that divides 8702 without a remainder.

1, 2, 19, 38, 229, 458, 4351

Step-4: Factors of 8714

List of positive integer factors of 8714 that divides 8702 without a remainder.

1, 2, 4357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8702 and 8714. The biggest common factor number is the GCF number.
So the greatest common factor 8702 and 8714 is 2.

Also check out the Least Common Multiple of 8702 and 8714