What is the Greatest Common Factor of 32784 and 32802?

Greatest common factor (GCF) of 32784 and 32802 is 6.

GCF(32784,32802) = 6

We will now calculate the prime factors of 32784 and 32802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32784 and 32802.

How to find the GCF of 32784 and 32802?

We will first find the prime factorization of 32784 and 32802. After we will calculate the factors of 32784 and 32802 and find the biggest common factor number .

Step-1: Prime Factorization of 32784

Prime factors of 32784 are 2, 3, 683. Prime factorization of 32784 in exponential form is:

32784 = 2⁴ × 3¹ × 683¹

Step-2: 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-3: Factors of 32784

List of positive integer factors of 32784 that divides 32784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 683, 1366, 2049, 2732, 4098, 5464, 8196, 10928, 16392

Step-4: Factors of 32802

List of positive integer factors of 32802 that divides 32784 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32784 and 32802. The biggest common factor number is the GCF number.
So the greatest common factor 32784 and 32802 is 6.

Also check out the Least Common Multiple of 32784 and 32802