What is the Greatest Common Factor of 84364 and 84378?

Greatest common factor (GCF) of 84364 and 84378 is 14.

GCF(84364,84378) = 14

We will now calculate the prime factors of 84364 and 84378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84364 and 84378.

How to find the GCF of 84364 and 84378?

We will first find the prime factorization of 84364 and 84378. After we will calculate the factors of 84364 and 84378 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 84378

Prime factors of 84378 are 2, 3, 7, 41. Prime factorization of 84378 in exponential form is:

84378 = 2¹ × 3¹ × 7³ × 41¹

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 84378

List of positive integer factors of 84378 that divides 84364 without a remainder.

1, 2, 3, 6, 7, 14, 21, 41, 42, 49, 82, 98, 123, 147, 246, 287, 294, 343, 574, 686, 861, 1029, 1722, 2009, 2058, 4018, 6027, 12054, 14063, 28126, 42189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84364 and 84378. The biggest common factor number is the GCF number.
So the greatest common factor 84364 and 84378 is 14.

Also check out the Least Common Multiple of 84364 and 84378