What is the Greatest Common Factor of 84141 and 84153?

Greatest common factor (GCF) of 84141 and 84153 is 3.

GCF(84141,84153) = 3

We will now calculate the prime factors of 84141 and 84153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84141 and 84153.

How to find the GCF of 84141 and 84153?

We will first find the prime factorization of 84141 and 84153. After we will calculate the factors of 84141 and 84153 and find the biggest common factor number .

Step-1: Prime Factorization of 84141

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

84141 = 3² × 9349¹

Step-2: Prime Factorization of 84153

Prime factors of 84153 are 3, 28051. Prime factorization of 84153 in exponential form is:

84153 = 3¹ × 28051¹

Step-3: Factors of 84141

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

1, 3, 9, 9349, 28047

Step-4: Factors of 84153

List of positive integer factors of 84153 that divides 84141 without a remainder.

1, 3, 28051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84141 and 84153. The biggest common factor number is the GCF number.
So the greatest common factor 84141 and 84153 is 3.

Also check out the Least Common Multiple of 84141 and 84153