What is the Greatest Common Factor of 72138 and 72153?

Greatest common factor (GCF) of 72138 and 72153 is 3.

GCF(72138,72153) = 3

We will now calculate the prime factors of 72138 and 72153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72138 and 72153.

How to find the GCF of 72138 and 72153?

We will first find the prime factorization of 72138 and 72153. After we will calculate the factors of 72138 and 72153 and find the biggest common factor number .

Step-1: Prime Factorization of 72138

Prime factors of 72138 are 2, 3, 11, 1093. Prime factorization of 72138 in exponential form is:

72138 = 2¹ × 3¹ × 11¹ × 1093¹

Step-2: Prime Factorization of 72153

Prime factors of 72153 are 3, 8017. Prime factorization of 72153 in exponential form is:

72153 = 3² × 8017¹

Step-3: Factors of 72138

List of positive integer factors of 72138 that divides 72138 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1093, 2186, 3279, 6558, 12023, 24046, 36069

Step-4: Factors of 72153

List of positive integer factors of 72153 that divides 72138 without a remainder.

1, 3, 9, 8017, 24051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72138 and 72153. The biggest common factor number is the GCF number.
So the greatest common factor 72138 and 72153 is 3.

Also check out the Least Common Multiple of 72138 and 72153