What is the Greatest Common Factor of 32877 and 32890?

Greatest common factor (GCF) of 32877 and 32890 is 13.

GCF(32877,32890) = 13

We will now calculate the prime factors of 32877 and 32890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32877 and 32890.

How to find the GCF of 32877 and 32890?

We will first find the prime factorization of 32877 and 32890. After we will calculate the factors of 32877 and 32890 and find the biggest common factor number .

Step-1: Prime Factorization of 32877

Prime factors of 32877 are 3, 13, 281. Prime factorization of 32877 in exponential form is:

32877 = 3² × 13¹ × 281¹

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 32877

List of positive integer factors of 32877 that divides 32877 without a remainder.

1, 3, 9, 13, 39, 117, 281, 843, 2529, 3653, 10959

Step-4: Factors of 32890

List of positive integer factors of 32890 that divides 32877 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 32877 and 32890. The biggest common factor number is the GCF number.
So the greatest common factor 32877 and 32890 is 13.

Also check out the Least Common Multiple of 32877 and 32890