What is the Greatest Common Factor of 78299 and 78303?

Greatest common factor (GCF) of 78299 and 78303 is 1.

GCF(78299,78303) = 1

We will now calculate the prime factors of 78299 and 78303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78299 and 78303.

How to find the GCF of 78299 and 78303?

We will first find the prime factorization of 78299 and 78303. After we will calculate the factors of 78299 and 78303 and find the biggest common factor number .

Step-1: Prime Factorization of 78299

Prime factors of 78299 are 13, 19, 317. Prime factorization of 78299 in exponential form is:

78299 = 13¹ × 19¹ × 317¹

Step-2: Prime Factorization of 78303

Prime factors of 78303 are 3, 43, 607. Prime factorization of 78303 in exponential form is:

78303 = 3¹ × 43¹ × 607¹

Step-3: Factors of 78299

List of positive integer factors of 78299 that divides 78299 without a remainder.

1, 13, 19, 247, 317, 4121, 6023

Step-4: Factors of 78303

List of positive integer factors of 78303 that divides 78299 without a remainder.

1, 3, 43, 129, 607, 1821, 26101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78299 and 78303. The biggest common factor number is the GCF number.
So the greatest common factor 78299 and 78303 is 1.

Also check out the Least Common Multiple of 78299 and 78303