What is the Greatest Common Factor of 78275 and 78294?

Greatest common factor (GCF) of 78275 and 78294 is 1.

GCF(78275,78294) = 1

We will now calculate the prime factors of 78275 and 78294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78275 and 78294.

How to find the GCF of 78275 and 78294?

We will first find the prime factorization of 78275 and 78294. After we will calculate the factors of 78275 and 78294 and find the biggest common factor number .

Step-1: Prime Factorization of 78275

Prime factors of 78275 are 5, 31, 101. Prime factorization of 78275 in exponential form is:

78275 = 5² × 31¹ × 101¹

Step-2: Prime Factorization of 78294

Prime factors of 78294 are 2, 3, 13049. Prime factorization of 78294 in exponential form is:

78294 = 2¹ × 3¹ × 13049¹

Step-3: Factors of 78275

List of positive integer factors of 78275 that divides 78275 without a remainder.

1, 5, 25, 31, 101, 155, 505, 775, 2525, 3131, 15655

Step-4: Factors of 78294

List of positive integer factors of 78294 that divides 78275 without a remainder.

1, 2, 3, 6, 13049, 26098, 39147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78275 and 78294. The biggest common factor number is the GCF number.
So the greatest common factor 78275 and 78294 is 1.

Also check out the Least Common Multiple of 78275 and 78294