What is the Greatest Common Factor of 83504 and 83516?

Greatest common factor (GCF) of 83504 and 83516 is 4.

GCF(83504,83516) = 4

We will now calculate the prime factors of 83504 and 83516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83504 and 83516.

How to find the GCF of 83504 and 83516?

We will first find the prime factorization of 83504 and 83516. After we will calculate the factors of 83504 and 83516 and find the biggest common factor number .

Step-1: Prime Factorization of 83504

Prime factors of 83504 are 2, 17, 307. Prime factorization of 83504 in exponential form is:

83504 = 2⁴ × 17¹ × 307¹

Step-2: Prime Factorization of 83516

Prime factors of 83516 are 2, 20879. Prime factorization of 83516 in exponential form is:

83516 = 2² × 20879¹

Step-3: Factors of 83504

List of positive integer factors of 83504 that divides 83504 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 307, 614, 1228, 2456, 4912, 5219, 10438, 20876, 41752

Step-4: Factors of 83516

List of positive integer factors of 83516 that divides 83504 without a remainder.

1, 2, 4, 20879, 41758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83504 and 83516. The biggest common factor number is the GCF number.
So the greatest common factor 83504 and 83516 is 4.

Also check out the Least Common Multiple of 83504 and 83516