What is the Greatest Common Factor of 83344 and 83364?

Greatest common factor (GCF) of 83344 and 83364 is 4.

GCF(83344,83364) = 4

We will now calculate the prime factors of 83344 and 83364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83344 and 83364.

How to find the GCF of 83344 and 83364?

We will first find the prime factorization of 83344 and 83364. After we will calculate the factors of 83344 and 83364 and find the biggest common factor number .

Step-1: Prime Factorization of 83344

Prime factors of 83344 are 2, 5209. Prime factorization of 83344 in exponential form is:

83344 = 2⁴ × 5209¹

Step-2: Prime Factorization of 83364

Prime factors of 83364 are 2, 3, 6947. Prime factorization of 83364 in exponential form is:

83364 = 2² × 3¹ × 6947¹

Step-3: Factors of 83344

List of positive integer factors of 83344 that divides 83344 without a remainder.

1, 2, 4, 8, 16, 5209, 10418, 20836, 41672

Step-4: Factors of 83364

List of positive integer factors of 83364 that divides 83344 without a remainder.

1, 2, 3, 4, 6, 12, 6947, 13894, 20841, 27788, 41682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83344 and 83364. The biggest common factor number is the GCF number.
So the greatest common factor 83344 and 83364 is 4.

Also check out the Least Common Multiple of 83344 and 83364