What is the Greatest Common Factor of 83684 and 83702?

Greatest common factor (GCF) of 83684 and 83702 is 2.

GCF(83684,83702) = 2

We will now calculate the prime factors of 83684 and 83702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83684 and 83702.

How to find the GCF of 83684 and 83702?

We will first find the prime factorization of 83684 and 83702. After we will calculate the factors of 83684 and 83702 and find the biggest common factor number .

Step-1: Prime Factorization of 83684

Prime factors of 83684 are 2, 20921. Prime factorization of 83684 in exponential form is:

83684 = 2² × 20921¹

Step-2: Prime Factorization of 83702

Prime factors of 83702 are 2, 41851. Prime factorization of 83702 in exponential form is:

83702 = 2¹ × 41851¹

Step-3: Factors of 83684

List of positive integer factors of 83684 that divides 83684 without a remainder.

1, 2, 4, 20921, 41842

Step-4: Factors of 83702

List of positive integer factors of 83702 that divides 83684 without a remainder.

1, 2, 41851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83684 and 83702. The biggest common factor number is the GCF number.
So the greatest common factor 83684 and 83702 is 2.

Also check out the Least Common Multiple of 83684 and 83702