What is the Greatest Common Factor of 85374 and 85390?

Greatest common factor (GCF) of 85374 and 85390 is 2.

GCF(85374,85390) = 2

We will now calculate the prime factors of 85374 and 85390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85374 and 85390.

How to find the GCF of 85374 and 85390?

We will first find the prime factorization of 85374 and 85390. After we will calculate the factors of 85374 and 85390 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85390

Prime factors of 85390 are 2, 5, 8539. Prime factorization of 85390 in exponential form is:

85390 = 2¹ × 5¹ × 8539¹

Step-3: Factors of 85374

List of positive integer factors of 85374 that divides 85374 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

Step-4: Factors of 85390

List of positive integer factors of 85390 that divides 85374 without a remainder.

1, 2, 5, 10, 8539, 17078, 42695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85374 and 85390. The biggest common factor number is the GCF number.
So the greatest common factor 85374 and 85390 is 2.

Also check out the Least Common Multiple of 85374 and 85390