What is the Greatest Common Factor of 72123 and 72135?

Greatest common factor (GCF) of 72123 and 72135 is 3.

GCF(72123,72135) = 3

We will now calculate the prime factors of 72123 and 72135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72123 and 72135.

How to find the GCF of 72123 and 72135?

We will first find the prime factorization of 72123 and 72135. After we will calculate the factors of 72123 and 72135 and find the biggest common factor number .

Step-1: Prime Factorization of 72123

Prime factors of 72123 are 3, 29, 829. Prime factorization of 72123 in exponential form is:

72123 = 3¹ × 29¹ × 829¹

Step-2: Prime Factorization of 72135

Prime factors of 72135 are 3, 5, 7, 229. Prime factorization of 72135 in exponential form is:

72135 = 3² × 5¹ × 7¹ × 229¹

Step-3: Factors of 72123

List of positive integer factors of 72123 that divides 72123 without a remainder.

1, 3, 29, 87, 829, 2487, 24041

Step-4: Factors of 72135

List of positive integer factors of 72135 that divides 72123 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 229, 315, 687, 1145, 1603, 2061, 3435, 4809, 8015, 10305, 14427, 24045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72123 and 72135. The biggest common factor number is the GCF number.
So the greatest common factor 72123 and 72135 is 3.

Also check out the Least Common Multiple of 72123 and 72135