What is the Greatest Common Factor of 80301 and 80319?

Greatest common factor (GCF) of 80301 and 80319 is 3.

GCF(80301,80319) = 3

We will now calculate the prime factors of 80301 and 80319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80301 and 80319.

How to find the GCF of 80301 and 80319?

We will first find the prime factorization of 80301 and 80319. After we will calculate the factors of 80301 and 80319 and find the biggest common factor number .

Step-1: Prime Factorization of 80301

Prime factors of 80301 are 3, 13, 29, 71. Prime factorization of 80301 in exponential form is:

80301 = 3¹ × 13¹ × 29¹ × 71¹

Step-2: Prime Factorization of 80319

Prime factors of 80319 are 3, 41, 653. Prime factorization of 80319 in exponential form is:

80319 = 3¹ × 41¹ × 653¹

Step-3: Factors of 80301

List of positive integer factors of 80301 that divides 80301 without a remainder.

1, 3, 13, 29, 39, 71, 87, 213, 377, 923, 1131, 2059, 2769, 6177, 26767

Step-4: Factors of 80319

List of positive integer factors of 80319 that divides 80301 without a remainder.

1, 3, 41, 123, 653, 1959, 26773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80301 and 80319. The biggest common factor number is the GCF number.
So the greatest common factor 80301 and 80319 is 3.

Also check out the Least Common Multiple of 80301 and 80319