What is the Greatest Common Factor of 84087 and 84102?

Greatest common factor (GCF) of 84087 and 84102 is 3.

GCF(84087,84102) = 3

We will now calculate the prime factors of 84087 and 84102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84087 and 84102.

How to find the GCF of 84087 and 84102?

We will first find the prime factorization of 84087 and 84102. After we will calculate the factors of 84087 and 84102 and find the biggest common factor number .

Step-1: Prime Factorization of 84087

Prime factors of 84087 are 3, 9343. Prime factorization of 84087 in exponential form is:

84087 = 3² × 9343¹

Step-2: Prime Factorization of 84102

Prime factors of 84102 are 2, 3, 107, 131. Prime factorization of 84102 in exponential form is:

84102 = 2¹ × 3¹ × 107¹ × 131¹

Step-3: Factors of 84087

List of positive integer factors of 84087 that divides 84087 without a remainder.

1, 3, 9, 9343, 28029

Step-4: Factors of 84102

List of positive integer factors of 84102 that divides 84087 without a remainder.

1, 2, 3, 6, 107, 131, 214, 262, 321, 393, 642, 786, 14017, 28034, 42051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84087 and 84102. The biggest common factor number is the GCF number.
So the greatest common factor 84087 and 84102 is 3.

Also check out the Least Common Multiple of 84087 and 84102