What is the Greatest Common Factor of 85359 and 85374?

Greatest common factor (GCF) of 85359 and 85374 is 3.

GCF(85359,85374) = 3

We will now calculate the prime factors of 85359 and 85374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85359 and 85374.

How to find the GCF of 85359 and 85374?

We will first find the prime factorization of 85359 and 85374. After we will calculate the factors of 85359 and 85374 and find the biggest common factor number .

Step-1: Prime Factorization of 85359

Prime factors of 85359 are 3, 37, 769. Prime factorization of 85359 in exponential form is:

85359 = 3¹ × 37¹ × 769¹

Step-2: Prime Factorization of 85374

Prime factors of 85374 are 2, 3, 17, 31. Prime factorization of 85374 in exponential form is:

85374 = 2¹ × 3⁴ × 17¹ × 31¹

Step-3: Factors of 85359

List of positive integer factors of 85359 that divides 85359 without a remainder.

1, 3, 37, 111, 769, 2307, 28453

Step-4: Factors of 85374

List of positive integer factors of 85374 that divides 85359 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 31, 34, 51, 54, 62, 81, 93, 102, 153, 162, 186, 279, 306, 459, 527, 558, 837, 918, 1054, 1377, 1581, 1674, 2511, 2754, 3162, 4743, 5022, 9486, 14229, 28458, 42687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85359 and 85374. The biggest common factor number is the GCF number.
So the greatest common factor 85359 and 85374 is 3.

Also check out the Least Common Multiple of 85359 and 85374