What is the Greatest Common Factor of 31652 and 31670?

Greatest common factor (GCF) of 31652 and 31670 is 2.

GCF(31652,31670) = 2

We will now calculate the prime factors of 31652 and 31670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31652 and 31670.

How to find the GCF of 31652 and 31670?

We will first find the prime factorization of 31652 and 31670. After we will calculate the factors of 31652 and 31670 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31670

Prime factors of 31670 are 2, 5, 3167. Prime factorization of 31670 in exponential form is:

31670 = 2¹ × 5¹ × 3167¹

Step-3: Factors of 31652

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

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

Step-4: Factors of 31670

List of positive integer factors of 31670 that divides 31652 without a remainder.

1, 2, 5, 10, 3167, 6334, 15835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31652 and 31670. The biggest common factor number is the GCF number.
So the greatest common factor 31652 and 31670 is 2.

Also check out the Least Common Multiple of 31652 and 31670