What is the Greatest Common Factor of 80351 and 80358?

Greatest common factor (GCF) of 80351 and 80358 is 1.

GCF(80351,80358) = 1

We will now calculate the prime factors of 80351 and 80358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80351 and 80358.

How to find the GCF of 80351 and 80358?

We will first find the prime factorization of 80351 and 80358. After we will calculate the factors of 80351 and 80358 and find the biggest common factor number .

Step-1: Prime Factorization of 80351

Prime factors of 80351 are 19, 4229. Prime factorization of 80351 in exponential form is:

80351 = 19¹ × 4229¹

Step-2: Prime Factorization of 80358

Prime factors of 80358 are 2, 3, 59, 227. Prime factorization of 80358 in exponential form is:

80358 = 2¹ × 3¹ × 59¹ × 227¹

Step-3: Factors of 80351

List of positive integer factors of 80351 that divides 80351 without a remainder.

1, 19, 4229

Step-4: Factors of 80358

List of positive integer factors of 80358 that divides 80351 without a remainder.

1, 2, 3, 6, 59, 118, 177, 227, 354, 454, 681, 1362, 13393, 26786, 40179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80351 and 80358. The biggest common factor number is the GCF number.
So the greatest common factor 80351 and 80358 is 1.

Also check out the Least Common Multiple of 80351 and 80358