What is the Greatest Common Factor of 82684 and 82702?

Greatest common factor (GCF) of 82684 and 82702 is 2.

GCF(82684,82702) = 2

We will now calculate the prime factors of 82684 and 82702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82684 and 82702.

How to find the GCF of 82684 and 82702?

We will first find the prime factorization of 82684 and 82702. After we will calculate the factors of 82684 and 82702 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82702

Prime factors of 82702 are 2, 41351. Prime factorization of 82702 in exponential form is:

82702 = 2¹ × 41351¹

Step-3: Factors of 82684

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

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

Step-4: Factors of 82702

List of positive integer factors of 82702 that divides 82684 without a remainder.

1, 2, 41351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82684 and 82702. The biggest common factor number is the GCF number.
So the greatest common factor 82684 and 82702 is 2.

Also check out the Least Common Multiple of 82684 and 82702