What is the Greatest Common Factor of 31476 and 31482?

Greatest common factor (GCF) of 31476 and 31482 is 6.

GCF(31476,31482) = 6

We will now calculate the prime factors of 31476 and 31482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31476 and 31482.

How to find the GCF of 31476 and 31482?

We will first find the prime factorization of 31476 and 31482. After we will calculate the factors of 31476 and 31482 and find the biggest common factor number .

Step-1: Prime Factorization of 31476

Prime factors of 31476 are 2, 3, 43, 61. Prime factorization of 31476 in exponential form is:

31476 = 2² × 3¹ × 43¹ × 61¹

Step-2: Prime Factorization of 31482

Prime factors of 31482 are 2, 3, 11, 53. Prime factorization of 31482 in exponential form is:

31482 = 2¹ × 3³ × 11¹ × 53¹

Step-3: Factors of 31476

List of positive integer factors of 31476 that divides 31476 without a remainder.

1, 2, 3, 4, 6, 12, 43, 61, 86, 122, 129, 172, 183, 244, 258, 366, 516, 732, 2623, 5246, 7869, 10492, 15738

Step-4: Factors of 31482

List of positive integer factors of 31482 that divides 31476 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 53, 54, 66, 99, 106, 159, 198, 297, 318, 477, 583, 594, 954, 1166, 1431, 1749, 2862, 3498, 5247, 10494, 15741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31476 and 31482. The biggest common factor number is the GCF number.
So the greatest common factor 31476 and 31482 is 6.

Also check out the Least Common Multiple of 31476 and 31482