What is the Greatest Common Factor of 80353 and 80359?

Greatest common factor (GCF) of 80353 and 80359 is 1.

GCF(80353,80359) = 1

We will now calculate the prime factors of 80353 and 80359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80353 and 80359.

How to find the GCF of 80353 and 80359?

We will first find the prime factorization of 80353 and 80359. After we will calculate the factors of 80353 and 80359 and find the biggest common factor number .

Step-1: Prime Factorization of 80353

Prime factors of 80353 are 7, 13, 883. Prime factorization of 80353 in exponential form is:

80353 = 7¹ × 13¹ × 883¹

Step-2: Prime Factorization of 80359

Prime factors of 80359 are 17, 29, 163. Prime factorization of 80359 in exponential form is:

80359 = 17¹ × 29¹ × 163¹

Step-3: Factors of 80353

List of positive integer factors of 80353 that divides 80353 without a remainder.

1, 7, 13, 91, 883, 6181, 11479

Step-4: Factors of 80359

List of positive integer factors of 80359 that divides 80353 without a remainder.

1, 17, 29, 163, 493, 2771, 4727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80353 and 80359. The biggest common factor number is the GCF number.
So the greatest common factor 80353 and 80359 is 1.

Also check out the Least Common Multiple of 80353 and 80359