What is the Greatest Common Factor of 32876 and 32890?

Greatest common factor (GCF) of 32876 and 32890 is 2.

GCF(32876,32890) = 2

We will now calculate the prime factors of 32876 and 32890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32876 and 32890.

How to find the GCF of 32876 and 32890?

We will first find the prime factorization of 32876 and 32890. After we will calculate the factors of 32876 and 32890 and find the biggest common factor number .

Step-1: Prime Factorization of 32876

Prime factors of 32876 are 2, 8219. Prime factorization of 32876 in exponential form is:

32876 = 2² × 8219¹

Step-2: Prime Factorization of 32890

Prime factors of 32890 are 2, 5, 11, 13, 23. Prime factorization of 32890 in exponential form is:

32890 = 2¹ × 5¹ × 11¹ × 13¹ × 23¹

Step-3: Factors of 32876

List of positive integer factors of 32876 that divides 32876 without a remainder.

1, 2, 4, 8219, 16438

Step-4: Factors of 32890

List of positive integer factors of 32890 that divides 32876 without a remainder.

1, 2, 5, 10, 11, 13, 22, 23, 26, 46, 55, 65, 110, 115, 130, 143, 230, 253, 286, 299, 506, 598, 715, 1265, 1430, 1495, 2530, 2990, 3289, 6578, 16445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32876 and 32890. The biggest common factor number is the GCF number.
So the greatest common factor 32876 and 32890 is 2.

Also check out the Least Common Multiple of 32876 and 32890