What is the Greatest Common Factor of 31557 and 31569?

Greatest common factor (GCF) of 31557 and 31569 is 3.

GCF(31557,31569) = 3

We will now calculate the prime factors of 31557 and 31569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31557 and 31569.

How to find the GCF of 31557 and 31569?

We will first find the prime factorization of 31557 and 31569. After we will calculate the factors of 31557 and 31569 and find the biggest common factor number .

Step-1: Prime Factorization of 31557

Prime factors of 31557 are 3, 67, 157. Prime factorization of 31557 in exponential form is:

31557 = 3¹ × 67¹ × 157¹

Step-2: Prime Factorization of 31569

Prime factors of 31569 are 3, 17, 619. Prime factorization of 31569 in exponential form is:

31569 = 3¹ × 17¹ × 619¹

Step-3: Factors of 31557

List of positive integer factors of 31557 that divides 31557 without a remainder.

1, 3, 67, 157, 201, 471, 10519

Step-4: Factors of 31569

List of positive integer factors of 31569 that divides 31557 without a remainder.

1, 3, 17, 51, 619, 1857, 10523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31557 and 31569. The biggest common factor number is the GCF number.
So the greatest common factor 31557 and 31569 is 3.

Also check out the Least Common Multiple of 31557 and 31569