What is the Greatest Common Factor of 78302 and 78307?

Greatest common factor (GCF) of 78302 and 78307 is 1.

GCF(78302,78307) = 1

We will now calculate the prime factors of 78302 and 78307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78302 and 78307.

How to find the GCF of 78302 and 78307?

We will first find the prime factorization of 78302 and 78307. After we will calculate the factors of 78302 and 78307 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 78307

Prime factors of 78307 are 78307. Prime factorization of 78307 in exponential form is:

78307 = 78307¹

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 78307

List of positive integer factors of 78307 that divides 78302 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78302 and 78307. The biggest common factor number is the GCF number.
So the greatest common factor 78302 and 78307 is 1.

Also check out the Least Common Multiple of 78302 and 78307