What is the Greatest Common Factor of 84381 and 84396?

Greatest common factor (GCF) of 84381 and 84396 is 3.

GCF(84381,84396) = 3

We will now calculate the prime factors of 84381 and 84396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84381 and 84396.

How to find the GCF of 84381 and 84396?

We will first find the prime factorization of 84381 and 84396. After we will calculate the factors of 84381 and 84396 and find the biggest common factor number .

Step-1: Prime Factorization of 84381

Prime factors of 84381 are 3, 11, 2557. Prime factorization of 84381 in exponential form is:

84381 = 3¹ × 11¹ × 2557¹

Step-2: Prime Factorization of 84396

Prime factors of 84396 are 2, 3, 13, 541. Prime factorization of 84396 in exponential form is:

84396 = 2² × 3¹ × 13¹ × 541¹

Step-3: Factors of 84381

List of positive integer factors of 84381 that divides 84381 without a remainder.

1, 3, 11, 33, 2557, 7671, 28127

Step-4: Factors of 84396

List of positive integer factors of 84396 that divides 84381 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 541, 1082, 1623, 2164, 3246, 6492, 7033, 14066, 21099, 28132, 42198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84381 and 84396. The biggest common factor number is the GCF number.
So the greatest common factor 84381 and 84396 is 3.

Also check out the Least Common Multiple of 84381 and 84396