What is the Greatest Common Factor of 80301 and 80305?

Greatest common factor (GCF) of 80301 and 80305 is 1.

GCF(80301,80305) = 1

We will now calculate the prime factors of 80301 and 80305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80301 and 80305.

How to find the GCF of 80301 and 80305?

We will first find the prime factorization of 80301 and 80305. After we will calculate the factors of 80301 and 80305 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 80305

Prime factors of 80305 are 5, 16061. Prime factorization of 80305 in exponential form is:

80305 = 5¹ × 16061¹

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 80305

List of positive integer factors of 80305 that divides 80301 without a remainder.

1, 5, 16061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80301 and 80305. The biggest common factor number is the GCF number.
So the greatest common factor 80301 and 80305 is 1.

Also check out the Least Common Multiple of 80301 and 80305