What is the Greatest Common Factor of 31184 and 31204?

Greatest common factor (GCF) of 31184 and 31204 is 4.

GCF(31184,31204) = 4

We will now calculate the prime factors of 31184 and 31204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31184 and 31204.

How to find the GCF of 31184 and 31204?

We will first find the prime factorization of 31184 and 31204. After we will calculate the factors of 31184 and 31204 and find the biggest common factor number .

Step-1: Prime Factorization of 31184

Prime factors of 31184 are 2, 1949. Prime factorization of 31184 in exponential form is:

31184 = 2⁴ × 1949¹

Step-2: Prime Factorization of 31204

Prime factors of 31204 are 2, 29, 269. Prime factorization of 31204 in exponential form is:

31204 = 2² × 29¹ × 269¹

Step-3: Factors of 31184

List of positive integer factors of 31184 that divides 31184 without a remainder.

1, 2, 4, 8, 16, 1949, 3898, 7796, 15592

Step-4: Factors of 31204

List of positive integer factors of 31204 that divides 31184 without a remainder.

1, 2, 4, 29, 58, 116, 269, 538, 1076, 7801, 15602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31184 and 31204. The biggest common factor number is the GCF number.
So the greatest common factor 31184 and 31204 is 4.

Also check out the Least Common Multiple of 31184 and 31204