What is the Greatest Common Factor of 86003 and 86008?

Greatest common factor (GCF) of 86003 and 86008 is 1.

GCF(86003,86008) = 1

We will now calculate the prime factors of 86003 and 86008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86003 and 86008.

How to find the GCF of 86003 and 86008?

We will first find the prime factorization of 86003 and 86008. After we will calculate the factors of 86003 and 86008 and find the biggest common factor number .

Step-1: Prime Factorization of 86003

Prime factors of 86003 are 17, 5059. Prime factorization of 86003 in exponential form is:

86003 = 17¹ × 5059¹

Step-2: Prime Factorization of 86008

Prime factors of 86008 are 2, 13, 827. Prime factorization of 86008 in exponential form is:

86008 = 2³ × 13¹ × 827¹

Step-3: Factors of 86003

List of positive integer factors of 86003 that divides 86003 without a remainder.

1, 17, 5059

Step-4: Factors of 86008

List of positive integer factors of 86008 that divides 86003 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 827, 1654, 3308, 6616, 10751, 21502, 43004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86003 and 86008. The biggest common factor number is the GCF number.
So the greatest common factor 86003 and 86008 is 1.

Also check out the Least Common Multiple of 86003 and 86008