What is the Greatest Common Factor of 83716 and 83734?

Greatest common factor (GCF) of 83716 and 83734 is 2.

GCF(83716,83734) = 2

We will now calculate the prime factors of 83716 and 83734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83716 and 83734.

How to find the GCF of 83716 and 83734?

We will first find the prime factorization of 83716 and 83734. After we will calculate the factors of 83716 and 83734 and find the biggest common factor number .

Step-1: Prime Factorization of 83716

Prime factors of 83716 are 2, 20929. Prime factorization of 83716 in exponential form is:

83716 = 2² × 20929¹

Step-2: Prime Factorization of 83734

Prime factors of 83734 are 2, 7, 5981. Prime factorization of 83734 in exponential form is:

83734 = 2¹ × 7¹ × 5981¹

Step-3: Factors of 83716

List of positive integer factors of 83716 that divides 83716 without a remainder.

1, 2, 4, 20929, 41858

Step-4: Factors of 83734

List of positive integer factors of 83734 that divides 83716 without a remainder.

1, 2, 7, 14, 5981, 11962, 41867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83716 and 83734. The biggest common factor number is the GCF number.
So the greatest common factor 83716 and 83734 is 2.

Also check out the Least Common Multiple of 83716 and 83734