What is the Greatest Common Factor of 84135 and 84141?

Greatest common factor (GCF) of 84135 and 84141 is 3.

GCF(84135,84141) = 3

We will now calculate the prime factors of 84135 and 84141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84135 and 84141.

How to find the GCF of 84135 and 84141?

We will first find the prime factorization of 84135 and 84141. After we will calculate the factors of 84135 and 84141 and find the biggest common factor number .

Step-1: Prime Factorization of 84135

Prime factors of 84135 are 3, 5, 71, 79. Prime factorization of 84135 in exponential form is:

84135 = 3¹ × 5¹ × 71¹ × 79¹

Step-2: Prime Factorization of 84141

Prime factors of 84141 are 3, 9349. Prime factorization of 84141 in exponential form is:

84141 = 3² × 9349¹

Step-3: Factors of 84135

List of positive integer factors of 84135 that divides 84135 without a remainder.

1, 3, 5, 15, 71, 79, 213, 237, 355, 395, 1065, 1185, 5609, 16827, 28045

Step-4: Factors of 84141

List of positive integer factors of 84141 that divides 84135 without a remainder.

1, 3, 9, 9349, 28047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84135 and 84141. The biggest common factor number is the GCF number.
So the greatest common factor 84135 and 84141 is 3.

Also check out the Least Common Multiple of 84135 and 84141