What is the Greatest Common Factor of 80330 and 80348?

Greatest common factor (GCF) of 80330 and 80348 is 2.

GCF(80330,80348) = 2

We will now calculate the prime factors of 80330 and 80348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80330 and 80348.

How to find the GCF of 80330 and 80348?

We will first find the prime factorization of 80330 and 80348. After we will calculate the factors of 80330 and 80348 and find the biggest common factor number .

Step-1: Prime Factorization of 80330

Prime factors of 80330 are 2, 5, 29, 277. Prime factorization of 80330 in exponential form is:

80330 = 2¹ × 5¹ × 29¹ × 277¹

Step-2: Prime Factorization of 80348

Prime factors of 80348 are 2, 53, 379. Prime factorization of 80348 in exponential form is:

80348 = 2² × 53¹ × 379¹

Step-3: Factors of 80330

List of positive integer factors of 80330 that divides 80330 without a remainder.

1, 2, 5, 10, 29, 58, 145, 277, 290, 554, 1385, 2770, 8033, 16066, 40165

Step-4: Factors of 80348

List of positive integer factors of 80348 that divides 80330 without a remainder.

1, 2, 4, 53, 106, 212, 379, 758, 1516, 20087, 40174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80330 and 80348. The biggest common factor number is the GCF number.
So the greatest common factor 80330 and 80348 is 2.

Also check out the Least Common Multiple of 80330 and 80348