What is the Greatest Common Factor of 85518 and 85526?

Greatest common factor (GCF) of 85518 and 85526 is 2.

GCF(85518,85526) = 2

We will now calculate the prime factors of 85518 and 85526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85518 and 85526.

How to find the GCF of 85518 and 85526?

We will first find the prime factorization of 85518 and 85526. After we will calculate the factors of 85518 and 85526 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85526

Prime factors of 85526 are 2, 7, 41, 149. Prime factorization of 85526 in exponential form is:

85526 = 2¹ × 7¹ × 41¹ × 149¹

Step-3: Factors of 85518

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

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

Step-4: Factors of 85526

List of positive integer factors of 85526 that divides 85518 without a remainder.

1, 2, 7, 14, 41, 82, 149, 287, 298, 574, 1043, 2086, 6109, 12218, 42763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85518 and 85526. The biggest common factor number is the GCF number.
So the greatest common factor 85518 and 85526 is 2.

Also check out the Least Common Multiple of 85518 and 85526