What is the Greatest Common Factor of 85671 and 85679?

Greatest common factor (GCF) of 85671 and 85679 is 1.

GCF(85671,85679) = 1

We will now calculate the prime factors of 85671 and 85679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85671 and 85679.

How to find the GCF of 85671 and 85679?

We will first find the prime factorization of 85671 and 85679. After we will calculate the factors of 85671 and 85679 and find the biggest common factor number .

Step-1: Prime Factorization of 85671

Prime factors of 85671 are 3, 19, 167. Prime factorization of 85671 in exponential form is:

85671 = 3³ × 19¹ × 167¹

Step-2: Prime Factorization of 85679

Prime factors of 85679 are 11, 7789. Prime factorization of 85679 in exponential form is:

85679 = 11¹ × 7789¹

Step-3: Factors of 85671

List of positive integer factors of 85671 that divides 85671 without a remainder.

1, 3, 9, 19, 27, 57, 167, 171, 501, 513, 1503, 3173, 4509, 9519, 28557

Step-4: Factors of 85679

List of positive integer factors of 85679 that divides 85671 without a remainder.

1, 11, 7789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85671 and 85679. The biggest common factor number is the GCF number.
So the greatest common factor 85671 and 85679 is 1.

Also check out the Least Common Multiple of 85671 and 85679