What is the Greatest Common Factor of 72478 and 72482?

Greatest common factor (GCF) of 72478 and 72482 is 2.

GCF(72478,72482) = 2

We will now calculate the prime factors of 72478 and 72482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72478 and 72482.

How to find the GCF of 72478 and 72482?

We will first find the prime factorization of 72478 and 72482. After we will calculate the factors of 72478 and 72482 and find the biggest common factor number .

Step-1: Prime Factorization of 72478

Prime factors of 72478 are 2, 7, 31, 167. Prime factorization of 72478 in exponential form is:

72478 = 2¹ × 7¹ × 31¹ × 167¹

Step-2: Prime Factorization of 72482

Prime factors of 72482 are 2, 36241. Prime factorization of 72482 in exponential form is:

72482 = 2¹ × 36241¹

Step-3: Factors of 72478

List of positive integer factors of 72478 that divides 72478 without a remainder.

1, 2, 7, 14, 31, 62, 167, 217, 334, 434, 1169, 2338, 5177, 10354, 36239

Step-4: Factors of 72482

List of positive integer factors of 72482 that divides 72478 without a remainder.

1, 2, 36241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72478 and 72482. The biggest common factor number is the GCF number.
So the greatest common factor 72478 and 72482 is 2.

Also check out the Least Common Multiple of 72478 and 72482