What is the Greatest Common Factor of 72278 and 72283?

Greatest common factor (GCF) of 72278 and 72283 is 1.

GCF(72278,72283) = 1

We will now calculate the prime factors of 72278 and 72283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72278 and 72283.

How to find the GCF of 72278 and 72283?

We will first find the prime factorization of 72278 and 72283. After we will calculate the factors of 72278 and 72283 and find the biggest common factor number .

Step-1: Prime Factorization of 72278

Prime factors of 72278 are 2, 71, 509. Prime factorization of 72278 in exponential form is:

72278 = 2¹ × 71¹ × 509¹

Step-2: Prime Factorization of 72283

Prime factors of 72283 are 41, 43. Prime factorization of 72283 in exponential form is:

72283 = 41² × 43¹

Step-3: Factors of 72278

List of positive integer factors of 72278 that divides 72278 without a remainder.

1, 2, 71, 142, 509, 1018, 36139

Step-4: Factors of 72283

List of positive integer factors of 72283 that divides 72278 without a remainder.

1, 41, 43, 1681, 1763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72278 and 72283. The biggest common factor number is the GCF number.
So the greatest common factor 72278 and 72283 is 1.

Also check out the Least Common Multiple of 72278 and 72283