What is the Greatest Common Factor of 31221 and 31236?

Greatest common factor (GCF) of 31221 and 31236 is 3.

GCF(31221,31236) = 3

We will now calculate the prime factors of 31221 and 31236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31221 and 31236.

How to find the GCF of 31221 and 31236?

We will first find the prime factorization of 31221 and 31236. After we will calculate the factors of 31221 and 31236 and find the biggest common factor number .

Step-1: Prime Factorization of 31221

Prime factors of 31221 are 3, 3469. Prime factorization of 31221 in exponential form is:

31221 = 3² × 3469¹

Step-2: Prime Factorization of 31236

Prime factors of 31236 are 2, 3, 19, 137. Prime factorization of 31236 in exponential form is:

31236 = 2² × 3¹ × 19¹ × 137¹

Step-3: Factors of 31221

List of positive integer factors of 31221 that divides 31221 without a remainder.

1, 3, 9, 3469, 10407

Step-4: Factors of 31236

List of positive integer factors of 31236 that divides 31221 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 137, 228, 274, 411, 548, 822, 1644, 2603, 5206, 7809, 10412, 15618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31221 and 31236. The biggest common factor number is the GCF number.
So the greatest common factor 31221 and 31236 is 3.

Also check out the Least Common Multiple of 31221 and 31236