What is the Greatest Common Factor of 78365 and 78373?

Greatest common factor (GCF) of 78365 and 78373 is 1.

GCF(78365,78373) = 1

We will now calculate the prime factors of 78365 and 78373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78365 and 78373.

How to find the GCF of 78365 and 78373?

We will first find the prime factorization of 78365 and 78373. After we will calculate the factors of 78365 and 78373 and find the biggest common factor number .

Step-1: Prime Factorization of 78365

Prime factors of 78365 are 5, 7, 2239. Prime factorization of 78365 in exponential form is:

78365 = 5¹ × 7¹ × 2239¹

Step-2: Prime Factorization of 78373

Prime factors of 78373 are 181, 433. Prime factorization of 78373 in exponential form is:

78373 = 181¹ × 433¹

Step-3: Factors of 78365

List of positive integer factors of 78365 that divides 78365 without a remainder.

1, 5, 7, 35, 2239, 11195, 15673

Step-4: Factors of 78373

List of positive integer factors of 78373 that divides 78365 without a remainder.

1, 181, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78365 and 78373. The biggest common factor number is the GCF number.
So the greatest common factor 78365 and 78373 is 1.

Also check out the Least Common Multiple of 78365 and 78373