What is the Greatest Common Factor of 85338 and 85351?

Greatest common factor (GCF) of 85338 and 85351 is 1.

GCF(85338,85351) = 1

We will now calculate the prime factors of 85338 and 85351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85338 and 85351.

How to find the GCF of 85338 and 85351?

We will first find the prime factorization of 85338 and 85351. After we will calculate the factors of 85338 and 85351 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 85351

Prime factors of 85351 are 7, 89, 137. Prime factorization of 85351 in exponential form is:

85351 = 7¹ × 89¹ × 137¹

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 85351

List of positive integer factors of 85351 that divides 85338 without a remainder.

1, 7, 89, 137, 623, 959, 12193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85338 and 85351. The biggest common factor number is the GCF number.
So the greatest common factor 85338 and 85351 is 1.

Also check out the Least Common Multiple of 85338 and 85351