What is the Greatest Common Factor of 31284 and 31303?

Greatest common factor (GCF) of 31284 and 31303 is 1.

GCF(31284,31303) = 1

We will now calculate the prime factors of 31284 and 31303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31284 and 31303.

How to find the GCF of 31284 and 31303?

We will first find the prime factorization of 31284 and 31303. After we will calculate the factors of 31284 and 31303 and find the biggest common factor number .

Step-1: Prime Factorization of 31284

Prime factors of 31284 are 2, 3, 11, 79. Prime factorization of 31284 in exponential form is:

31284 = 2² × 3² × 11¹ × 79¹

Step-2: Prime Factorization of 31303

Prime factors of 31303 are 23, 1361. Prime factorization of 31303 in exponential form is:

31303 = 23¹ × 1361¹

Step-3: Factors of 31284

List of positive integer factors of 31284 that divides 31284 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 79, 99, 132, 158, 198, 237, 316, 396, 474, 711, 869, 948, 1422, 1738, 2607, 2844, 3476, 5214, 7821, 10428, 15642

Step-4: Factors of 31303

List of positive integer factors of 31303 that divides 31284 without a remainder.

1, 23, 1361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31284 and 31303. The biggest common factor number is the GCF number.
So the greatest common factor 31284 and 31303 is 1.

Also check out the Least Common Multiple of 31284 and 31303