What is the Greatest Common Factor of 78323 and 78337?

Greatest common factor (GCF) of 78323 and 78337 is 7.

GCF(78323,78337) = 7

We will now calculate the prime factors of 78323 and 78337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78323 and 78337.

How to find the GCF of 78323 and 78337?

We will first find the prime factorization of 78323 and 78337. After we will calculate the factors of 78323 and 78337 and find the biggest common factor number .

Step-1: Prime Factorization of 78323

Prime factors of 78323 are 7, 67, 167. Prime factorization of 78323 in exponential form is:

78323 = 7¹ × 67¹ × 167¹

Step-2: Prime Factorization of 78337

Prime factors of 78337 are 7, 19, 31. Prime factorization of 78337 in exponential form is:

78337 = 7¹ × 19² × 31¹

Step-3: Factors of 78323

List of positive integer factors of 78323 that divides 78323 without a remainder.

1, 7, 67, 167, 469, 1169, 11189

Step-4: Factors of 78337

List of positive integer factors of 78337 that divides 78323 without a remainder.

1, 7, 19, 31, 133, 217, 361, 589, 2527, 4123, 11191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78323 and 78337. The biggest common factor number is the GCF number.
So the greatest common factor 78323 and 78337 is 7.

Also check out the Least Common Multiple of 78323 and 78337