What is the Greatest Common Factor of 31257 and 31269?

Greatest common factor (GCF) of 31257 and 31269 is 3.

GCF(31257,31269) = 3

We will now calculate the prime factors of 31257 and 31269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31257 and 31269.

How to find the GCF of 31257 and 31269?

We will first find the prime factorization of 31257 and 31269. After we will calculate the factors of 31257 and 31269 and find the biggest common factor number .

Step-1: Prime Factorization of 31257

Prime factors of 31257 are 3, 23, 151. Prime factorization of 31257 in exponential form is:

31257 = 3² × 23¹ × 151¹

Step-2: Prime Factorization of 31269

Prime factors of 31269 are 3, 7, 1489. Prime factorization of 31269 in exponential form is:

31269 = 3¹ × 7¹ × 1489¹

Step-3: Factors of 31257

List of positive integer factors of 31257 that divides 31257 without a remainder.

1, 3, 9, 23, 69, 151, 207, 453, 1359, 3473, 10419

Step-4: Factors of 31269

List of positive integer factors of 31269 that divides 31257 without a remainder.

1, 3, 7, 21, 1489, 4467, 10423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31257 and 31269. The biggest common factor number is the GCF number.
So the greatest common factor 31257 and 31269 is 3.

Also check out the Least Common Multiple of 31257 and 31269