What is the Greatest Common Factor of 77006 and 77017?

Greatest common factor (GCF) of 77006 and 77017 is 1.

GCF(77006,77017) = 1

We will now calculate the prime factors of 77006 and 77017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77006 and 77017.

How to find the GCF of 77006 and 77017?

We will first find the prime factorization of 77006 and 77017. After we will calculate the factors of 77006 and 77017 and find the biggest common factor number .

Step-1: Prime Factorization of 77006

Prime factors of 77006 are 2, 139, 277. Prime factorization of 77006 in exponential form is:

77006 = 2¹ × 139¹ × 277¹

Step-2: Prime Factorization of 77017

Prime factors of 77017 are 77017. Prime factorization of 77017 in exponential form is:

77017 = 77017¹

Step-3: Factors of 77006

List of positive integer factors of 77006 that divides 77006 without a remainder.

1, 2, 139, 277, 278, 554, 38503

Step-4: Factors of 77017

List of positive integer factors of 77017 that divides 77006 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77006 and 77017. The biggest common factor number is the GCF number.
So the greatest common factor 77006 and 77017 is 1.

Also check out the Least Common Multiple of 77006 and 77017