What is the Greatest Common Factor of 78302 and 78317?

Greatest common factor (GCF) of 78302 and 78317 is 1.

GCF(78302,78317) = 1

We will now calculate the prime factors of 78302 and 78317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78302 and 78317.

How to find the GCF of 78302 and 78317?

We will first find the prime factorization of 78302 and 78317. After we will calculate the factors of 78302 and 78317 and find the biggest common factor number .

Step-1: Prime Factorization of 78302

Prime factors of 78302 are 2, 7, 17, 47. Prime factorization of 78302 in exponential form is:

78302 = 2¹ × 7² × 17¹ × 47¹

Step-2: Prime Factorization of 78317

Prime factors of 78317 are 78317. Prime factorization of 78317 in exponential form is:

78317 = 78317¹

Step-3: Factors of 78302

List of positive integer factors of 78302 that divides 78302 without a remainder.

1, 2, 7, 14, 17, 34, 47, 49, 94, 98, 119, 238, 329, 658, 799, 833, 1598, 1666, 2303, 4606, 5593, 11186, 39151

Step-4: Factors of 78317

List of positive integer factors of 78317 that divides 78302 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78302 and 78317. The biggest common factor number is the GCF number.
So the greatest common factor 78302 and 78317 is 1.

Also check out the Least Common Multiple of 78302 and 78317