What is the Greatest Common Factor of 85502 and 85518?

Greatest common factor (GCF) of 85502 and 85518 is 2.

GCF(85502,85518) = 2

We will now calculate the prime factors of 85502 and 85518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85502 and 85518.

How to find the GCF of 85502 and 85518?

We will first find the prime factorization of 85502 and 85518. After we will calculate the factors of 85502 and 85518 and find the biggest common factor number .

Step-1: Prime Factorization of 85502

Prime factors of 85502 are 2, 42751. Prime factorization of 85502 in exponential form is:

85502 = 2¹ × 42751¹

Step-2: Prime Factorization of 85518

Prime factors of 85518 are 2, 3, 4751. Prime factorization of 85518 in exponential form is:

85518 = 2¹ × 3² × 4751¹

Step-3: Factors of 85502

List of positive integer factors of 85502 that divides 85502 without a remainder.

1, 2, 42751

Step-4: Factors of 85518

List of positive integer factors of 85518 that divides 85502 without a remainder.

1, 2, 3, 6, 9, 18, 4751, 9502, 14253, 28506, 42759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85502 and 85518. The biggest common factor number is the GCF number.
So the greatest common factor 85502 and 85518 is 2.

Also check out the Least Common Multiple of 85502 and 85518