What is the Greatest Common Factor of 32642 and 32660?

Greatest common factor (GCF) of 32642 and 32660 is 2.

GCF(32642,32660) = 2

We will now calculate the prime factors of 32642 and 32660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32642 and 32660.

How to find the GCF of 32642 and 32660?

We will first find the prime factorization of 32642 and 32660. After we will calculate the factors of 32642 and 32660 and find the biggest common factor number .

Step-1: Prime Factorization of 32642

Prime factors of 32642 are 2, 19, 859. Prime factorization of 32642 in exponential form is:

32642 = 2¹ × 19¹ × 859¹

Step-2: Prime Factorization of 32660

Prime factors of 32660 are 2, 5, 23, 71. Prime factorization of 32660 in exponential form is:

32660 = 2² × 5¹ × 23¹ × 71¹

Step-3: Factors of 32642

List of positive integer factors of 32642 that divides 32642 without a remainder.

1, 2, 19, 38, 859, 1718, 16321

Step-4: Factors of 32660

List of positive integer factors of 32660 that divides 32642 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 71, 92, 115, 142, 230, 284, 355, 460, 710, 1420, 1633, 3266, 6532, 8165, 16330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32642 and 32660. The biggest common factor number is the GCF number.
So the greatest common factor 32642 and 32660 is 2.

Also check out the Least Common Multiple of 32642 and 32660