What is the Greatest Common Factor of 72141 and 72153?

Greatest common factor (GCF) of 72141 and 72153 is 3.

GCF(72141,72153) = 3

We will now calculate the prime factors of 72141 and 72153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72141 and 72153.

How to find the GCF of 72141 and 72153?

We will first find the prime factorization of 72141 and 72153. After we will calculate the factors of 72141 and 72153 and find the biggest common factor number .

Step-1: Prime Factorization of 72141

Prime factors of 72141 are 3, 139, 173. Prime factorization of 72141 in exponential form is:

72141 = 3¹ × 139¹ × 173¹

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 72141

List of positive integer factors of 72141 that divides 72141 without a remainder.

1, 3, 139, 173, 417, 519, 24047

Step-4: Factors of 72153

List of positive integer factors of 72153 that divides 72141 without a remainder.

1, 3, 9, 8017, 24051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72141 and 72153. The biggest common factor number is the GCF number.
So the greatest common factor 72141 and 72153 is 3.

Also check out the Least Common Multiple of 72141 and 72153