What is the Greatest Common Factor of 32802 and 32821?

Greatest common factor (GCF) of 32802 and 32821 is 1.

GCF(32802,32821) = 1

We will now calculate the prime factors of 32802 and 32821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32802 and 32821.

How to find the GCF of 32802 and 32821?

We will first find the prime factorization of 32802 and 32821. After we will calculate the factors of 32802 and 32821 and find the biggest common factor number .

Step-1: Prime Factorization of 32802

Prime factors of 32802 are 2, 3, 7, 11, 71. Prime factorization of 32802 in exponential form is:

32802 = 2¹ × 3¹ × 7¹ × 11¹ × 71¹

Step-2: Prime Factorization of 32821

Prime factors of 32821 are 23, 1427. Prime factorization of 32821 in exponential form is:

32821 = 23¹ × 1427¹

Step-3: Factors of 32802

List of positive integer factors of 32802 that divides 32802 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 71, 77, 142, 154, 213, 231, 426, 462, 497, 781, 994, 1491, 1562, 2343, 2982, 4686, 5467, 10934, 16401

Step-4: Factors of 32821

List of positive integer factors of 32821 that divides 32802 without a remainder.

1, 23, 1427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32802 and 32821. The biggest common factor number is the GCF number.
So the greatest common factor 32802 and 32821 is 1.

Also check out the Least Common Multiple of 32802 and 32821