What is the Greatest Common Factor of 82670 and 82684?

Greatest common factor (GCF) of 82670 and 82684 is 14.

GCF(82670,82684) = 14

We will now calculate the prime factors of 82670 and 82684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82670 and 82684.

How to find the GCF of 82670 and 82684?

We will first find the prime factorization of 82670 and 82684. After we will calculate the factors of 82670 and 82684 and find the biggest common factor number .

Step-1: Prime Factorization of 82670

Prime factors of 82670 are 2, 5, 7, 1181. Prime factorization of 82670 in exponential form is:

82670 = 2¹ × 5¹ × 7¹ × 1181¹

Step-2: Prime Factorization of 82684

Prime factors of 82684 are 2, 7, 2953. Prime factorization of 82684 in exponential form is:

82684 = 2² × 7¹ × 2953¹

Step-3: Factors of 82670

List of positive integer factors of 82670 that divides 82670 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1181, 2362, 5905, 8267, 11810, 16534, 41335

Step-4: Factors of 82684

List of positive integer factors of 82684 that divides 82670 without a remainder.

1, 2, 4, 7, 14, 28, 2953, 5906, 11812, 20671, 41342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82670 and 82684. The biggest common factor number is the GCF number.
So the greatest common factor 82670 and 82684 is 14.

Also check out the Least Common Multiple of 82670 and 82684