What is the Greatest Common Factor of 85338 and 85352?

Greatest common factor (GCF) of 85338 and 85352 is 2.

GCF(85338,85352) = 2

We will now calculate the prime factors of 85338 and 85352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85338 and 85352.

How to find the GCF of 85338 and 85352?

We will first find the prime factorization of 85338 and 85352. After we will calculate the factors of 85338 and 85352 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85352

Prime factors of 85352 are 2, 47, 227. Prime factorization of 85352 in exponential form is:

85352 = 2³ × 47¹ × 227¹

Step-3: Factors of 85338

List of positive integer factors of 85338 that divides 85338 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

Step-4: Factors of 85352

List of positive integer factors of 85352 that divides 85338 without a remainder.

1, 2, 4, 8, 47, 94, 188, 227, 376, 454, 908, 1816, 10669, 21338, 42676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85338 and 85352. The biggest common factor number is the GCF number.
So the greatest common factor 85338 and 85352 is 2.

Also check out the Least Common Multiple of 85338 and 85352