What is the Greatest Common Factor of 85322 and 85338?

Greatest common factor (GCF) of 85322 and 85338 is 2.

GCF(85322,85338) = 2

We will now calculate the prime factors of 85322 and 85338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85322 and 85338.

How to find the GCF of 85322 and 85338?

We will first find the prime factorization of 85322 and 85338. After we will calculate the factors of 85322 and 85338 and find the biggest common factor number .

Step-1: Prime Factorization of 85322

Prime factors of 85322 are 2, 37, 1153. Prime factorization of 85322 in exponential form is:

85322 = 2¹ × 37¹ × 1153¹

Step-2: Prime Factorization of 85338

Prime factors of 85338 are 2, 3, 11, 431. Prime factorization of 85338 in exponential form is:

85338 = 2¹ × 3² × 11¹ × 431¹

Step-3: Factors of 85322

List of positive integer factors of 85322 that divides 85322 without a remainder.

1, 2, 37, 74, 1153, 2306, 42661

Step-4: Factors of 85338

List of positive integer factors of 85338 that divides 85322 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 431, 862, 1293, 2586, 3879, 4741, 7758, 9482, 14223, 28446, 42669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85322 and 85338. The biggest common factor number is the GCF number.
So the greatest common factor 85322 and 85338 is 2.

Also check out the Least Common Multiple of 85322 and 85338