What is the Greatest Common Factor of 78354 and 78365?

Greatest common factor (GCF) of 78354 and 78365 is 1.

GCF(78354,78365) = 1

We will now calculate the prime factors of 78354 and 78365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78354 and 78365.

How to find the GCF of 78354 and 78365?

We will first find the prime factorization of 78354 and 78365. After we will calculate the factors of 78354 and 78365 and find the biggest common factor number .

Step-1: Prime Factorization of 78354

Prime factors of 78354 are 2, 3, 1451. Prime factorization of 78354 in exponential form is:

78354 = 2¹ × 3³ × 1451¹

Step-2: 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-3: Factors of 78354

List of positive integer factors of 78354 that divides 78354 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1451, 2902, 4353, 8706, 13059, 26118, 39177

Step-4: Factors of 78365

List of positive integer factors of 78365 that divides 78354 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78354 and 78365. The biggest common factor number is the GCF number.
So the greatest common factor 78354 and 78365 is 1.

Also check out the Least Common Multiple of 78354 and 78365