What is the Greatest Common Factor of 72231 and 72246?

Greatest common factor (GCF) of 72231 and 72246 is 3.

GCF(72231,72246) = 3

We will now calculate the prime factors of 72231 and 72246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72231 and 72246.

How to find the GCF of 72231 and 72246?

We will first find the prime factorization of 72231 and 72246. After we will calculate the factors of 72231 and 72246 and find the biggest common factor number .

Step-1: Prime Factorization of 72231

Prime factors of 72231 are 3, 24077. Prime factorization of 72231 in exponential form is:

72231 = 3¹ × 24077¹

Step-2: Prime Factorization of 72246

Prime factors of 72246 are 2, 3, 12041. Prime factorization of 72246 in exponential form is:

72246 = 2¹ × 3¹ × 12041¹

Step-3: Factors of 72231

List of positive integer factors of 72231 that divides 72231 without a remainder.

1, 3, 24077

Step-4: Factors of 72246

List of positive integer factors of 72246 that divides 72231 without a remainder.

1, 2, 3, 6, 12041, 24082, 36123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72231 and 72246. The biggest common factor number is the GCF number.
So the greatest common factor 72231 and 72246 is 3.

Also check out the Least Common Multiple of 72231 and 72246