What is the Greatest Common Factor of 78271 and 78291?

Greatest common factor (GCF) of 78271 and 78291 is 1.

GCF(78271,78291) = 1

We will now calculate the prime factors of 78271 and 78291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78271 and 78291.

How to find the GCF of 78271 and 78291?

We will first find the prime factorization of 78271 and 78291. After we will calculate the factors of 78271 and 78291 and find the biggest common factor number .

Step-1: Prime Factorization of 78271

Prime factors of 78271 are 29, 2699. Prime factorization of 78271 in exponential form is:

78271 = 29¹ × 2699¹

Step-2: Prime Factorization of 78291

Prime factors of 78291 are 3, 8699. Prime factorization of 78291 in exponential form is:

78291 = 3² × 8699¹

Step-3: Factors of 78271

List of positive integer factors of 78271 that divides 78271 without a remainder.

1, 29, 2699

Step-4: Factors of 78291

List of positive integer factors of 78291 that divides 78271 without a remainder.

1, 3, 9, 8699, 26097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78271 and 78291. The biggest common factor number is the GCF number.
So the greatest common factor 78271 and 78291 is 1.

Also check out the Least Common Multiple of 78271 and 78291