What is the Greatest Common Factor of 84364 and 84382?

Greatest common factor (GCF) of 84364 and 84382 is 2.

GCF(84364,84382) = 2

We will now calculate the prime factors of 84364 and 84382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84364 and 84382.

How to find the GCF of 84364 and 84382?

We will first find the prime factorization of 84364 and 84382. After we will calculate the factors of 84364 and 84382 and find the biggest common factor number .

Step-1: Prime Factorization of 84364

Prime factors of 84364 are 2, 7, 23, 131. Prime factorization of 84364 in exponential form is:

84364 = 2² × 7¹ × 23¹ × 131¹

Step-2: Prime Factorization of 84382

Prime factors of 84382 are 2, 31, 1361. Prime factorization of 84382 in exponential form is:

84382 = 2¹ × 31¹ × 1361¹

Step-3: Factors of 84364

List of positive integer factors of 84364 that divides 84364 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 131, 161, 262, 322, 524, 644, 917, 1834, 3013, 3668, 6026, 12052, 21091, 42182

Step-4: Factors of 84382

List of positive integer factors of 84382 that divides 84364 without a remainder.

1, 2, 31, 62, 1361, 2722, 42191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84364 and 84382. The biggest common factor number is the GCF number.
So the greatest common factor 84364 and 84382 is 2.

Also check out the Least Common Multiple of 84364 and 84382