What is the Greatest Common Factor of 31144 and 31164?

Greatest common factor (GCF) of 31144 and 31164 is 4.

GCF(31144,31164) = 4

We will now calculate the prime factors of 31144 and 31164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31144 and 31164.

How to find the GCF of 31144 and 31164?

We will first find the prime factorization of 31144 and 31164. After we will calculate the factors of 31144 and 31164 and find the biggest common factor number .

Step-1: Prime Factorization of 31144

Prime factors of 31144 are 2, 17, 229. Prime factorization of 31144 in exponential form is:

31144 = 2³ × 17¹ × 229¹

Step-2: Prime Factorization of 31164

Prime factors of 31164 are 2, 3, 7, 53. Prime factorization of 31164 in exponential form is:

31164 = 2² × 3¹ × 7² × 53¹

Step-3: Factors of 31144

List of positive integer factors of 31144 that divides 31144 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 229, 458, 916, 1832, 3893, 7786, 15572

Step-4: Factors of 31164

List of positive integer factors of 31164 that divides 31144 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 53, 84, 98, 106, 147, 159, 196, 212, 294, 318, 371, 588, 636, 742, 1113, 1484, 2226, 2597, 4452, 5194, 7791, 10388, 15582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31144 and 31164. The biggest common factor number is the GCF number.
So the greatest common factor 31144 and 31164 is 4.

Also check out the Least Common Multiple of 31144 and 31164