What is the Greatest Common Factor of 31195 and 31212?

Greatest common factor (GCF) of 31195 and 31212 is 17.

GCF(31195,31212) = 17

We will now calculate the prime factors of 31195 and 31212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31195 and 31212.

How to find the GCF of 31195 and 31212?

We will first find the prime factorization of 31195 and 31212. After we will calculate the factors of 31195 and 31212 and find the biggest common factor number .

Step-1: Prime Factorization of 31195

Prime factors of 31195 are 5, 17, 367. Prime factorization of 31195 in exponential form is:

31195 = 5¹ × 17¹ × 367¹

Step-2: Prime Factorization of 31212

Prime factors of 31212 are 2, 3, 17. Prime factorization of 31212 in exponential form is:

31212 = 2² × 3³ × 17²

Step-3: Factors of 31195

List of positive integer factors of 31195 that divides 31195 without a remainder.

1, 5, 17, 85, 367, 1835, 6239

Step-4: Factors of 31212

List of positive integer factors of 31212 that divides 31195 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 289, 306, 459, 578, 612, 867, 918, 1156, 1734, 1836, 2601, 3468, 5202, 7803, 10404, 15606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31195 and 31212. The biggest common factor number is the GCF number.
So the greatest common factor 31195 and 31212 is 17.

Also check out the Least Common Multiple of 31195 and 31212