What is the Greatest Common Factor of 31638 and 31652?

Greatest common factor (GCF) of 31638 and 31652 is 2.

GCF(31638,31652) = 2

We will now calculate the prime factors of 31638 and 31652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31638 and 31652.

How to find the GCF of 31638 and 31652?

We will first find the prime factorization of 31638 and 31652. After we will calculate the factors of 31638 and 31652 and find the biggest common factor number .

Step-1: Prime Factorization of 31638

Prime factors of 31638 are 2, 3, 5273. Prime factorization of 31638 in exponential form is:

31638 = 2¹ × 3¹ × 5273¹

Step-2: Prime Factorization of 31652

Prime factors of 31652 are 2, 41, 193. Prime factorization of 31652 in exponential form is:

31652 = 2² × 41¹ × 193¹

Step-3: Factors of 31638

List of positive integer factors of 31638 that divides 31638 without a remainder.

1, 2, 3, 6, 5273, 10546, 15819

Step-4: Factors of 31652

List of positive integer factors of 31652 that divides 31638 without a remainder.

1, 2, 4, 41, 82, 164, 193, 386, 772, 7913, 15826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31638 and 31652. The biggest common factor number is the GCF number.
So the greatest common factor 31638 and 31652 is 2.

Also check out the Least Common Multiple of 31638 and 31652