What is the Greatest Common Factor of 77059 and 77067?

Greatest common factor (GCF) of 77059 and 77067 is 1.

GCF(77059,77067) = 1

We will now calculate the prime factors of 77059 and 77067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77059 and 77067.

How to find the GCF of 77059 and 77067?

We will first find the prime factorization of 77059 and 77067. After we will calculate the factors of 77059 and 77067 and find the biggest common factor number .

Step-1: Prime Factorization of 77059

Prime factors of 77059 are 263, 293. Prime factorization of 77059 in exponential form is:

77059 = 263¹ × 293¹

Step-2: Prime Factorization of 77067

Prime factors of 77067 are 3, 8563. Prime factorization of 77067 in exponential form is:

77067 = 3² × 8563¹

Step-3: Factors of 77059

List of positive integer factors of 77059 that divides 77059 without a remainder.

1, 263, 293

Step-4: Factors of 77067

List of positive integer factors of 77067 that divides 77059 without a remainder.

1, 3, 9, 8563, 25689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77059 and 77067. The biggest common factor number is the GCF number.
So the greatest common factor 77059 and 77067 is 1.

Also check out the Least Common Multiple of 77059 and 77067