What is the Greatest Common Factor of 31538 and 31554?

Greatest common factor (GCF) of 31538 and 31554 is 2.

GCF(31538,31554) = 2

We will now calculate the prime factors of 31538 and 31554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31538 and 31554.

How to find the GCF of 31538 and 31554?

We will first find the prime factorization of 31538 and 31554. After we will calculate the factors of 31538 and 31554 and find the biggest common factor number .

Step-1: Prime Factorization of 31538

Prime factors of 31538 are 2, 13, 1213. Prime factorization of 31538 in exponential form is:

31538 = 2¹ × 13¹ × 1213¹

Step-2: Prime Factorization of 31554

Prime factors of 31554 are 2, 3, 1753. Prime factorization of 31554 in exponential form is:

31554 = 2¹ × 3² × 1753¹

Step-3: Factors of 31538

List of positive integer factors of 31538 that divides 31538 without a remainder.

1, 2, 13, 26, 1213, 2426, 15769

Step-4: Factors of 31554

List of positive integer factors of 31554 that divides 31538 without a remainder.

1, 2, 3, 6, 9, 18, 1753, 3506, 5259, 10518, 15777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31538 and 31554. The biggest common factor number is the GCF number.
So the greatest common factor 31538 and 31554 is 2.

Also check out the Least Common Multiple of 31538 and 31554