What is the Greatest Common Factor of 84368 and 84374?

Greatest common factor (GCF) of 84368 and 84374 is 2.

GCF(84368,84374) = 2

We will now calculate the prime factors of 84368 and 84374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84368 and 84374.

How to find the GCF of 84368 and 84374?

We will first find the prime factorization of 84368 and 84374. After we will calculate the factors of 84368 and 84374 and find the biggest common factor number .

Step-1: Prime Factorization of 84368

Prime factors of 84368 are 2, 5273. Prime factorization of 84368 in exponential form is:

84368 = 2⁴ × 5273¹

Step-2: Prime Factorization of 84374

Prime factors of 84374 are 2, 42187. Prime factorization of 84374 in exponential form is:

84374 = 2¹ × 42187¹

Step-3: Factors of 84368

List of positive integer factors of 84368 that divides 84368 without a remainder.

1, 2, 4, 8, 16, 5273, 10546, 21092, 42184

Step-4: Factors of 84374

List of positive integer factors of 84374 that divides 84368 without a remainder.

1, 2, 42187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84368 and 84374. The biggest common factor number is the GCF number.
So the greatest common factor 84368 and 84374 is 2.

Also check out the Least Common Multiple of 84368 and 84374