What is the Greatest Common Factor of 84381 and 84387?

Greatest common factor (GCF) of 84381 and 84387 is 3.

GCF(84381,84387) = 3

We will now calculate the prime factors of 84381 and 84387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84381 and 84387.

How to find the GCF of 84381 and 84387?

We will first find the prime factorization of 84381 and 84387. After we will calculate the factors of 84381 and 84387 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 84387

Prime factors of 84387 are 3, 23, 1223. Prime factorization of 84387 in exponential form is:

84387 = 3¹ × 23¹ × 1223¹

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 84387

List of positive integer factors of 84387 that divides 84381 without a remainder.

1, 3, 23, 69, 1223, 3669, 28129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84381 and 84387. The biggest common factor number is the GCF number.
So the greatest common factor 84381 and 84387 is 3.

Also check out the Least Common Multiple of 84381 and 84387