What is the Greatest Common Factor of 78345 and 78356?

Greatest common factor (GCF) of 78345 and 78356 is 1.

GCF(78345,78356) = 1

We will now calculate the prime factors of 78345 and 78356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78345 and 78356.

How to find the GCF of 78345 and 78356?

We will first find the prime factorization of 78345 and 78356. After we will calculate the factors of 78345 and 78356 and find the biggest common factor number .

Step-1: Prime Factorization of 78345

Prime factors of 78345 are 3, 5, 1741. Prime factorization of 78345 in exponential form is:

78345 = 3² × 5¹ × 1741¹

Step-2: Prime Factorization of 78356

Prime factors of 78356 are 2, 19, 1031. Prime factorization of 78356 in exponential form is:

78356 = 2² × 19¹ × 1031¹

Step-3: Factors of 78345

List of positive integer factors of 78345 that divides 78345 without a remainder.

1, 3, 5, 9, 15, 45, 1741, 5223, 8705, 15669, 26115

Step-4: Factors of 78356

List of positive integer factors of 78356 that divides 78345 without a remainder.

1, 2, 4, 19, 38, 76, 1031, 2062, 4124, 19589, 39178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78345 and 78356. The biggest common factor number is the GCF number.
So the greatest common factor 78345 and 78356 is 1.

Also check out the Least Common Multiple of 78345 and 78356