What is the Greatest Common Factor of 84108 and 84123?

Greatest common factor (GCF) of 84108 and 84123 is 3.

GCF(84108,84123) = 3

We will now calculate the prime factors of 84108 and 84123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84108 and 84123.

How to find the GCF of 84108 and 84123?

We will first find the prime factorization of 84108 and 84123. After we will calculate the factors of 84108 and 84123 and find the biggest common factor number .

Step-1: Prime Factorization of 84108

Prime factors of 84108 are 2, 3, 43, 163. Prime factorization of 84108 in exponential form is:

84108 = 2² × 3¹ × 43¹ × 163¹

Step-2: Prime Factorization of 84123

Prime factors of 84123 are 3, 13, 719. Prime factorization of 84123 in exponential form is:

84123 = 3² × 13¹ × 719¹

Step-3: Factors of 84108

List of positive integer factors of 84108 that divides 84108 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 163, 172, 258, 326, 489, 516, 652, 978, 1956, 7009, 14018, 21027, 28036, 42054

Step-4: Factors of 84123

List of positive integer factors of 84123 that divides 84108 without a remainder.

1, 3, 9, 13, 39, 117, 719, 2157, 6471, 9347, 28041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84108 and 84123. The biggest common factor number is the GCF number.
So the greatest common factor 84108 and 84123 is 3.

Also check out the Least Common Multiple of 84108 and 84123