What is the Greatest Common Factor of 31538 and 31546?

Greatest common factor (GCF) of 31538 and 31546 is 2.

GCF(31538,31546) = 2

We will now calculate the prime factors of 31538 and 31546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31538 and 31546.

How to find the GCF of 31538 and 31546?

We will first find the prime factorization of 31538 and 31546. After we will calculate the factors of 31538 and 31546 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 31546

Prime factors of 31546 are 2, 15773. Prime factorization of 31546 in exponential form is:

31546 = 2¹ × 15773¹

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 31546

List of positive integer factors of 31546 that divides 31538 without a remainder.

1, 2, 15773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31538 and 31546. The biggest common factor number is the GCF number.
So the greatest common factor 31538 and 31546 is 2.

Also check out the Least Common Multiple of 31538 and 31546