What is the Greatest Common Factor of 84129 and 84135?

Greatest common factor (GCF) of 84129 and 84135 is 3.

GCF(84129,84135) = 3

We will now calculate the prime factors of 84129 and 84135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84129 and 84135.

How to find the GCF of 84129 and 84135?

We will first find the prime factorization of 84129 and 84135. After we will calculate the factors of 84129 and 84135 and find the biggest common factor number .

Step-1: Prime Factorization of 84129

Prime factors of 84129 are 3, 29, 967. Prime factorization of 84129 in exponential form is:

84129 = 3¹ × 29¹ × 967¹

Step-2: 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-3: Factors of 84129

List of positive integer factors of 84129 that divides 84129 without a remainder.

1, 3, 29, 87, 967, 2901, 28043

Step-4: Factors of 84135

List of positive integer factors of 84135 that divides 84129 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84129 and 84135. The biggest common factor number is the GCF number.
So the greatest common factor 84129 and 84135 is 3.

Also check out the Least Common Multiple of 84129 and 84135