What is the Greatest Common Factor of 83684 and 83696?

Greatest common factor (GCF) of 83684 and 83696 is 4.

GCF(83684,83696) = 4

We will now calculate the prime factors of 83684 and 83696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83684 and 83696.

How to find the GCF of 83684 and 83696?

We will first find the prime factorization of 83684 and 83696. After we will calculate the factors of 83684 and 83696 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 83696

Prime factors of 83696 are 2, 5231. Prime factorization of 83696 in exponential form is:

83696 = 2⁴ × 5231¹

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 83696

List of positive integer factors of 83696 that divides 83684 without a remainder.

1, 2, 4, 8, 16, 5231, 10462, 20924, 41848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83684 and 83696. The biggest common factor number is the GCF number.
So the greatest common factor 83684 and 83696 is 4.

Also check out the Least Common Multiple of 83684 and 83696