What is the Greatest Common Factor of 32791 and 32802?

Greatest common factor (GCF) of 32791 and 32802 is 11.

GCF(32791,32802) = 11

We will now calculate the prime factors of 32791 and 32802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32791 and 32802.

How to find the GCF of 32791 and 32802?

We will first find the prime factorization of 32791 and 32802. After we will calculate the factors of 32791 and 32802 and find the biggest common factor number .

Step-1: Prime Factorization of 32791

Prime factors of 32791 are 11, 271. Prime factorization of 32791 in exponential form is:

32791 = 11² × 271¹

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 32791

List of positive integer factors of 32791 that divides 32791 without a remainder.

1, 11, 121, 271, 2981

Step-4: Factors of 32802

List of positive integer factors of 32802 that divides 32791 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 32791 and 32802. The biggest common factor number is the GCF number.
So the greatest common factor 32791 and 32802 is 11.

Also check out the Least Common Multiple of 32791 and 32802