What is the Greatest Common Factor of 85368 and 85374?

Greatest common factor (GCF) of 85368 and 85374 is 6.

GCF(85368,85374) = 6

We will now calculate the prime factors of 85368 and 85374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85368 and 85374.

How to find the GCF of 85368 and 85374?

We will first find the prime factorization of 85368 and 85374. After we will calculate the factors of 85368 and 85374 and find the biggest common factor number .

Step-1: Prime Factorization of 85368

Prime factors of 85368 are 2, 3, 3557. Prime factorization of 85368 in exponential form is:

85368 = 2³ × 3¹ × 3557¹

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 85368

List of positive integer factors of 85368 that divides 85368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3557, 7114, 10671, 14228, 21342, 28456, 42684

Step-4: Factors of 85374

List of positive integer factors of 85374 that divides 85368 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 85368 and 85374. The biggest common factor number is the GCF number.
So the greatest common factor 85368 and 85374 is 6.

Also check out the Least Common Multiple of 85368 and 85374