What is the Greatest Common Factor of 31642 and 31660?

Greatest common factor (GCF) of 31642 and 31660 is 2.

GCF(31642,31660) = 2

We will now calculate the prime factors of 31642 and 31660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31642 and 31660.

How to find the GCF of 31642 and 31660?

We will first find the prime factorization of 31642 and 31660. After we will calculate the factors of 31642 and 31660 and find the biggest common factor number .

Step-1: Prime Factorization of 31642

Prime factors of 31642 are 2, 13, 1217. Prime factorization of 31642 in exponential form is:

31642 = 2¹ × 13¹ × 1217¹

Step-2: Prime Factorization of 31660

Prime factors of 31660 are 2, 5, 1583. Prime factorization of 31660 in exponential form is:

31660 = 2² × 5¹ × 1583¹

Step-3: Factors of 31642

List of positive integer factors of 31642 that divides 31642 without a remainder.

1, 2, 13, 26, 1217, 2434, 15821

Step-4: Factors of 31660

List of positive integer factors of 31660 that divides 31642 without a remainder.

1, 2, 4, 5, 10, 20, 1583, 3166, 6332, 7915, 15830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31642 and 31660. The biggest common factor number is the GCF number.
So the greatest common factor 31642 and 31660 is 2.

Also check out the Least Common Multiple of 31642 and 31660