What is the Greatest Common Factor of 72164 and 72168?

Greatest common factor (GCF) of 72164 and 72168 is 4.

GCF(72164,72168) = 4

We will now calculate the prime factors of 72164 and 72168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72164 and 72168.

How to find the GCF of 72164 and 72168?

We will first find the prime factorization of 72164 and 72168. After we will calculate the factors of 72164 and 72168 and find the biggest common factor number .

Step-1: Prime Factorization of 72164

Prime factors of 72164 are 2, 18041. Prime factorization of 72164 in exponential form is:

72164 = 2² × 18041¹

Step-2: 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-3: Factors of 72164

List of positive integer factors of 72164 that divides 72164 without a remainder.

1, 2, 4, 18041, 36082

Step-4: Factors of 72168

List of positive integer factors of 72168 that divides 72164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72164 and 72168. The biggest common factor number is the GCF number.
So the greatest common factor 72164 and 72168 is 4.

Also check out the Least Common Multiple of 72164 and 72168