What is the Greatest Common Factor of 78258 and 78277?

Greatest common factor (GCF) of 78258 and 78277 is 1.

GCF(78258,78277) = 1

We will now calculate the prime factors of 78258 and 78277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78258 and 78277.

How to find the GCF of 78258 and 78277?

We will first find the prime factorization of 78258 and 78277. After we will calculate the factors of 78258 and 78277 and find the biggest common factor number .

Step-1: Prime Factorization of 78258

Prime factors of 78258 are 2, 3, 13043. Prime factorization of 78258 in exponential form is:

78258 = 2¹ × 3¹ × 13043¹

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 78258

List of positive integer factors of 78258 that divides 78258 without a remainder.

1, 2, 3, 6, 13043, 26086, 39129

Step-4: Factors of 78277

List of positive integer factors of 78277 that divides 78258 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78258 and 78277. The biggest common factor number is the GCF number.
So the greatest common factor 78258 and 78277 is 1.

Also check out the Least Common Multiple of 78258 and 78277