What is the Greatest Common Factor of 31437 and 31455?

Greatest common factor (GCF) of 31437 and 31455 is 9.

GCF(31437,31455) = 9

We will now calculate the prime factors of 31437 and 31455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31437 and 31455.

How to find the GCF of 31437 and 31455?

We will first find the prime factorization of 31437 and 31455. After we will calculate the factors of 31437 and 31455 and find the biggest common factor number .

Step-1: Prime Factorization of 31437

Prime factors of 31437 are 3, 7, 499. Prime factorization of 31437 in exponential form is:

31437 = 3² × 7¹ × 499¹

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 31437

List of positive integer factors of 31437 that divides 31437 without a remainder.

1, 3, 7, 9, 21, 63, 499, 1497, 3493, 4491, 10479

Step-4: Factors of 31455

List of positive integer factors of 31455 that divides 31437 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 31437 and 31455. The biggest common factor number is the GCF number.
So the greatest common factor 31437 and 31455 is 9.

Also check out the Least Common Multiple of 31437 and 31455