What is the Greatest Common Factor of 72168 and 72172?

Greatest common factor (GCF) of 72168 and 72172 is 4.

GCF(72168,72172) = 4

We will now calculate the prime factors of 72168 and 72172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72168 and 72172.

How to find the GCF of 72168 and 72172?

We will first find the prime factorization of 72168 and 72172. After we will calculate the factors of 72168 and 72172 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 72172

Prime factors of 72172 are 2, 18043. Prime factorization of 72172 in exponential form is:

72172 = 2² × 18043¹

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 72172

List of positive integer factors of 72172 that divides 72168 without a remainder.

1, 2, 4, 18043, 36086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72168 and 72172. The biggest common factor number is the GCF number.
So the greatest common factor 72168 and 72172 is 4.

Also check out the Least Common Multiple of 72168 and 72172