What is the Greatest Common Factor of 31380 and 31392?

Greatest common factor (GCF) of 31380 and 31392 is 12.

GCF(31380,31392) = 12

We will now calculate the prime factors of 31380 and 31392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31380 and 31392.

How to find the GCF of 31380 and 31392?

We will first find the prime factorization of 31380 and 31392. After we will calculate the factors of 31380 and 31392 and find the biggest common factor number .

Step-1: Prime Factorization of 31380

Prime factors of 31380 are 2, 3, 5, 523. Prime factorization of 31380 in exponential form is:

31380 = 2² × 3¹ × 5¹ × 523¹

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 31380

List of positive integer factors of 31380 that divides 31380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 523, 1046, 1569, 2092, 2615, 3138, 5230, 6276, 7845, 10460, 15690

Step-4: Factors of 31392

List of positive integer factors of 31392 that divides 31380 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 31380 and 31392. The biggest common factor number is the GCF number.
So the greatest common factor 31380 and 31392 is 12.

Also check out the Least Common Multiple of 31380 and 31392