What is the Greatest Common Factor of 85365 and 85374?

Greatest common factor (GCF) of 85365 and 85374 is 9.

GCF(85365,85374) = 9

We will now calculate the prime factors of 85365 and 85374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85365 and 85374.

How to find the GCF of 85365 and 85374?

We will first find the prime factorization of 85365 and 85374. After we will calculate the factors of 85365 and 85374 and find the biggest common factor number .

Step-1: Prime Factorization of 85365

Prime factors of 85365 are 3, 5, 7, 271. Prime factorization of 85365 in exponential form is:

85365 = 3² × 5¹ × 7¹ × 271¹

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 85365

List of positive integer factors of 85365 that divides 85365 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 271, 315, 813, 1355, 1897, 2439, 4065, 5691, 9485, 12195, 17073, 28455

Step-4: Factors of 85374

List of positive integer factors of 85374 that divides 85365 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 85365 and 85374. The biggest common factor number is the GCF number.
So the greatest common factor 85365 and 85374 is 9.

Also check out the Least Common Multiple of 85365 and 85374