What is the Greatest Common Factor of 80361 and 80367?

Greatest common factor (GCF) of 80361 and 80367 is 3.

GCF(80361,80367) = 3

We will now calculate the prime factors of 80361 and 80367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80361 and 80367.

How to find the GCF of 80361 and 80367?

We will first find the prime factorization of 80361 and 80367. After we will calculate the factors of 80361 and 80367 and find the biggest common factor number .

Step-1: Prime Factorization of 80361

Prime factors of 80361 are 3, 8929. Prime factorization of 80361 in exponential form is:

80361 = 3² × 8929¹

Step-2: Prime Factorization of 80367

Prime factors of 80367 are 3, 7, 43, 89. Prime factorization of 80367 in exponential form is:

80367 = 3¹ × 7¹ × 43¹ × 89¹

Step-3: Factors of 80361

List of positive integer factors of 80361 that divides 80361 without a remainder.

1, 3, 9, 8929, 26787

Step-4: Factors of 80367

List of positive integer factors of 80367 that divides 80361 without a remainder.

1, 3, 7, 21, 43, 89, 129, 267, 301, 623, 903, 1869, 3827, 11481, 26789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80361 and 80367. The biggest common factor number is the GCF number.
So the greatest common factor 80361 and 80367 is 3.

Also check out the Least Common Multiple of 80361 and 80367