What is the Greatest Common Factor of 31290 and 31305?

Greatest common factor (GCF) of 31290 and 31305 is 15.

GCF(31290,31305) = 15

We will now calculate the prime factors of 31290 and 31305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31290 and 31305.

How to find the GCF of 31290 and 31305?

We will first find the prime factorization of 31290 and 31305. After we will calculate the factors of 31290 and 31305 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 31305

Prime factors of 31305 are 3, 5, 2087. Prime factorization of 31305 in exponential form is:

31305 = 3¹ × 5¹ × 2087¹

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 31305

List of positive integer factors of 31305 that divides 31290 without a remainder.

1, 3, 5, 15, 2087, 6261, 10435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31290 and 31305. The biggest common factor number is the GCF number.
So the greatest common factor 31290 and 31305 is 15.

Also check out the Least Common Multiple of 31290 and 31305