What is the Greatest Common Factor of 31290 and 31309?

Greatest common factor (GCF) of 31290 and 31309 is 1.

GCF(31290,31309) = 1

We will now calculate the prime factors of 31290 and 31309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31290 and 31309.

How to find the GCF of 31290 and 31309?

We will first find the prime factorization of 31290 and 31309. After we will calculate the factors of 31290 and 31309 and find the biggest common factor number .

Step-1: Prime Factorization of 31290

Prime factors of 31290 are 2, 3, 5, 7, 149. Prime factorization of 31290 in exponential form is:

31290 = 2¹ × 3¹ × 5¹ × 7¹ × 149¹

Step-2: Prime Factorization of 31309

Prime factors of 31309 are 131, 239. Prime factorization of 31309 in exponential form is:

31309 = 131¹ × 239¹

Step-3: Factors of 31290

List of positive integer factors of 31290 that divides 31290 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 149, 210, 298, 447, 745, 894, 1043, 1490, 2086, 2235, 3129, 4470, 5215, 6258, 10430, 15645

Step-4: Factors of 31309

List of positive integer factors of 31309 that divides 31290 without a remainder.

1, 131, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31290 and 31309. The biggest common factor number is the GCF number.
So the greatest common factor 31290 and 31309 is 1.

Also check out the Least Common Multiple of 31290 and 31309