What is the Greatest Common Factor of 72168 and 72177?

Greatest common factor (GCF) of 72168 and 72177 is 3.

GCF(72168,72177) = 3

We will now calculate the prime factors of 72168 and 72177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72168 and 72177.

How to find the GCF of 72168 and 72177?

We will first find the prime factorization of 72168 and 72177. After we will calculate the factors of 72168 and 72177 and find the biggest common factor number .

Step-1: Prime Factorization of 72168

Prime factors of 72168 are 2, 3, 31, 97. Prime factorization of 72168 in exponential form is:

72168 = 2³ × 3¹ × 31¹ × 97¹

Step-2: Prime Factorization of 72177

Prime factors of 72177 are 3, 7, 491. Prime factorization of 72177 in exponential form is:

72177 = 3¹ × 7² × 491¹

Step-3: Factors of 72168

List of positive integer factors of 72168 that divides 72168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 97, 124, 186, 194, 248, 291, 372, 388, 582, 744, 776, 1164, 2328, 3007, 6014, 9021, 12028, 18042, 24056, 36084

Step-4: Factors of 72177

List of positive integer factors of 72177 that divides 72168 without a remainder.

1, 3, 7, 21, 49, 147, 491, 1473, 3437, 10311, 24059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72168 and 72177. The biggest common factor number is the GCF number.
So the greatest common factor 72168 and 72177 is 3.

Also check out the Least Common Multiple of 72168 and 72177