What is the Greatest Common Factor of 72312 and 72322?

Greatest common factor (GCF) of 72312 and 72322 is 2.

GCF(72312,72322) = 2

We will now calculate the prime factors of 72312 and 72322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72312 and 72322.

How to find the GCF of 72312 and 72322?

We will first find the prime factorization of 72312 and 72322. After we will calculate the factors of 72312 and 72322 and find the biggest common factor number .

Step-1: Prime Factorization of 72312

Prime factors of 72312 are 2, 3, 23, 131. Prime factorization of 72312 in exponential form is:

72312 = 2³ × 3¹ × 23¹ × 131¹

Step-2: Prime Factorization of 72322

Prime factors of 72322 are 2, 36161. Prime factorization of 72322 in exponential form is:

72322 = 2¹ × 36161¹

Step-3: Factors of 72312

List of positive integer factors of 72312 that divides 72312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 131, 138, 184, 262, 276, 393, 524, 552, 786, 1048, 1572, 3013, 3144, 6026, 9039, 12052, 18078, 24104, 36156

Step-4: Factors of 72322

List of positive integer factors of 72322 that divides 72312 without a remainder.

1, 2, 36161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72312 and 72322. The biggest common factor number is the GCF number.
So the greatest common factor 72312 and 72322 is 2.

Also check out the Least Common Multiple of 72312 and 72322