What is the Greatest Common Factor of 31440 and 31455?

Greatest common factor (GCF) of 31440 and 31455 is 15.

GCF(31440,31455) = 15

We will now calculate the prime factors of 31440 and 31455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31440 and 31455.

How to find the GCF of 31440 and 31455?

We will first find the prime factorization of 31440 and 31455. After we will calculate the factors of 31440 and 31455 and find the biggest common factor number .

Step-1: Prime Factorization of 31440

Prime factors of 31440 are 2, 3, 5, 131. Prime factorization of 31440 in exponential form is:

31440 = 2⁴ × 3¹ × 5¹ × 131¹

Step-2: Prime Factorization of 31455

Prime factors of 31455 are 3, 5, 233. Prime factorization of 31455 in exponential form is:

31455 = 3³ × 5¹ × 233¹

Step-3: Factors of 31440

List of positive integer factors of 31440 that divides 31440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 131, 240, 262, 393, 524, 655, 786, 1048, 1310, 1572, 1965, 2096, 2620, 3144, 3930, 5240, 6288, 7860, 10480, 15720

Step-4: Factors of 31455

List of positive integer factors of 31455 that divides 31440 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 233, 699, 1165, 2097, 3495, 6291, 10485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31440 and 31455. The biggest common factor number is the GCF number.
So the greatest common factor 31440 and 31455 is 15.

Also check out the Least Common Multiple of 31440 and 31455