What is the Greatest Common Factor of 78271 and 78277?

Greatest common factor (GCF) of 78271 and 78277 is 1.

GCF(78271,78277) = 1

We will now calculate the prime factors of 78271 and 78277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78271 and 78277.

How to find the GCF of 78271 and 78277?

We will first find the prime factorization of 78271 and 78277. After we will calculate the factors of 78271 and 78277 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 78277

Prime factors of 78277 are 78277. Prime factorization of 78277 in exponential form is:

78277 = 78277¹

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 78277

List of positive integer factors of 78277 that divides 78271 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78271 and 78277. The biggest common factor number is the GCF number.
So the greatest common factor 78271 and 78277 is 1.

Also check out the Least Common Multiple of 78271 and 78277