What is the Greatest Common Factor of 84378 and 84392?

Greatest common factor (GCF) of 84378 and 84392 is 14.

GCF(84378,84392) = 14

We will now calculate the prime factors of 84378 and 84392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84378 and 84392.

How to find the GCF of 84378 and 84392?

We will first find the prime factorization of 84378 and 84392. After we will calculate the factors of 84378 and 84392 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84392

Prime factors of 84392 are 2, 7, 11, 137. Prime factorization of 84392 in exponential form is:

84392 = 2³ × 7¹ × 11¹ × 137¹

Step-3: Factors of 84378

List of positive integer factors of 84378 that divides 84378 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

Step-4: Factors of 84392

List of positive integer factors of 84392 that divides 84378 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 137, 154, 274, 308, 548, 616, 959, 1096, 1507, 1918, 3014, 3836, 6028, 7672, 10549, 12056, 21098, 42196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84378 and 84392. The biggest common factor number is the GCF number.
So the greatest common factor 84378 and 84392 is 14.

Also check out the Least Common Multiple of 84378 and 84392