What is the Greatest Common Factor of 31546 and 31566?

Greatest common factor (GCF) of 31546 and 31566 is 2.

GCF(31546,31566) = 2

We will now calculate the prime factors of 31546 and 31566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31546 and 31566.

How to find the GCF of 31546 and 31566?

We will first find the prime factorization of 31546 and 31566. After we will calculate the factors of 31546 and 31566 and find the biggest common factor number .

Step-1: Prime Factorization of 31546

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

31546 = 2¹ × 15773¹

Step-2: Prime Factorization of 31566

Prime factors of 31566 are 2, 3, 5261. Prime factorization of 31566 in exponential form is:

31566 = 2¹ × 3¹ × 5261¹

Step-3: Factors of 31546

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

1, 2, 15773

Step-4: Factors of 31566

List of positive integer factors of 31566 that divides 31546 without a remainder.

1, 2, 3, 6, 5261, 10522, 15783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31546 and 31566. The biggest common factor number is the GCF number.
So the greatest common factor 31546 and 31566 is 2.

Also check out the Least Common Multiple of 31546 and 31566