What is the Greatest Common Factor of 85216 and 85226?

Greatest common factor (GCF) of 85216 and 85226 is 2.

GCF(85216,85226) = 2

We will now calculate the prime factors of 85216 and 85226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85216 and 85226.

How to find the GCF of 85216 and 85226?

We will first find the prime factorization of 85216 and 85226. After we will calculate the factors of 85216 and 85226 and find the biggest common factor number .

Step-1: Prime Factorization of 85216

Prime factors of 85216 are 2, 2663. Prime factorization of 85216 in exponential form is:

85216 = 2⁵ × 2663¹

Step-2: Prime Factorization of 85226

Prime factors of 85226 are 2, 43, 991. Prime factorization of 85226 in exponential form is:

85226 = 2¹ × 43¹ × 991¹

Step-3: Factors of 85216

List of positive integer factors of 85216 that divides 85216 without a remainder.

1, 2, 4, 8, 16, 32, 2663, 5326, 10652, 21304, 42608

Step-4: Factors of 85226

List of positive integer factors of 85226 that divides 85216 without a remainder.

1, 2, 43, 86, 991, 1982, 42613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85216 and 85226. The biggest common factor number is the GCF number.
So the greatest common factor 85216 and 85226 is 2.

Also check out the Least Common Multiple of 85216 and 85226