What is the Greatest Common Factor of 31385 and 31392?

Greatest common factor (GCF) of 31385 and 31392 is 1.

GCF(31385,31392) = 1

We will now calculate the prime factors of 31385 and 31392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31385 and 31392.

How to find the GCF of 31385 and 31392?

We will first find the prime factorization of 31385 and 31392. After we will calculate the factors of 31385 and 31392 and find the biggest common factor number .

Step-1: Prime Factorization of 31385

Prime factors of 31385 are 5, 6277. Prime factorization of 31385 in exponential form is:

31385 = 5¹ × 6277¹

Step-2: Prime Factorization of 31392

Prime factors of 31392 are 2, 3, 109. Prime factorization of 31392 in exponential form is:

31392 = 2⁵ × 3² × 109¹

Step-3: Factors of 31385

List of positive integer factors of 31385 that divides 31385 without a remainder.

1, 5, 6277

Step-4: Factors of 31392

List of positive integer factors of 31392 that divides 31385 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 109, 144, 218, 288, 327, 436, 654, 872, 981, 1308, 1744, 1962, 2616, 3488, 3924, 5232, 7848, 10464, 15696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31385 and 31392. The biggest common factor number is the GCF number.
So the greatest common factor 31385 and 31392 is 1.

Also check out the Least Common Multiple of 31385 and 31392