What is the Greatest Common Factor of 31798 and 31812?

Greatest common factor (GCF) of 31798 and 31812 is 2.

GCF(31798,31812) = 2

We will now calculate the prime factors of 31798 and 31812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31798 and 31812.

How to find the GCF of 31798 and 31812?

We will first find the prime factorization of 31798 and 31812. After we will calculate the factors of 31798 and 31812 and find the biggest common factor number .

Step-1: Prime Factorization of 31798

Prime factors of 31798 are 2, 13, 1223. Prime factorization of 31798 in exponential form is:

31798 = 2¹ × 13¹ × 1223¹

Step-2: Prime Factorization of 31812

Prime factors of 31812 are 2, 3, 11, 241. Prime factorization of 31812 in exponential form is:

31812 = 2² × 3¹ × 11¹ × 241¹

Step-3: Factors of 31798

List of positive integer factors of 31798 that divides 31798 without a remainder.

1, 2, 13, 26, 1223, 2446, 15899

Step-4: Factors of 31812

List of positive integer factors of 31812 that divides 31798 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 241, 482, 723, 964, 1446, 2651, 2892, 5302, 7953, 10604, 15906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31798 and 31812. The biggest common factor number is the GCF number.
So the greatest common factor 31798 and 31812 is 2.

Also check out the Least Common Multiple of 31798 and 31812