What is the Greatest Common Factor of 78302 and 78313?

Greatest common factor (GCF) of 78302 and 78313 is 1.

GCF(78302,78313) = 1

We will now calculate the prime factors of 78302 and 78313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78302 and 78313.

How to find the GCF of 78302 and 78313?

We will first find the prime factorization of 78302 and 78313. After we will calculate the factors of 78302 and 78313 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 78313

Prime factors of 78313 are 71, 1103. Prime factorization of 78313 in exponential form is:

78313 = 71¹ × 1103¹

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 78313

List of positive integer factors of 78313 that divides 78302 without a remainder.

1, 71, 1103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78302 and 78313. The biggest common factor number is the GCF number.
So the greatest common factor 78302 and 78313 is 1.

Also check out the Least Common Multiple of 78302 and 78313