What is the Greatest Common Factor of 78340 and 78349?

Greatest common factor (GCF) of 78340 and 78349 is 1.

GCF(78340,78349) = 1

We will now calculate the prime factors of 78340 and 78349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78340 and 78349.

How to find the GCF of 78340 and 78349?

We will first find the prime factorization of 78340 and 78349. After we will calculate the factors of 78340 and 78349 and find the biggest common factor number .

Step-1: Prime Factorization of 78340

Prime factors of 78340 are 2, 5, 3917. Prime factorization of 78340 in exponential form is:

78340 = 2² × 5¹ × 3917¹

Step-2: Prime Factorization of 78349

Prime factors of 78349 are 47, 1667. Prime factorization of 78349 in exponential form is:

78349 = 47¹ × 1667¹

Step-3: Factors of 78340

List of positive integer factors of 78340 that divides 78340 without a remainder.

1, 2, 4, 5, 10, 20, 3917, 7834, 15668, 19585, 39170

Step-4: Factors of 78349

List of positive integer factors of 78349 that divides 78340 without a remainder.

1, 47, 1667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78340 and 78349. The biggest common factor number is the GCF number.
So the greatest common factor 78340 and 78349 is 1.

Also check out the Least Common Multiple of 78340 and 78349