What is the Greatest Common Factor of 32802 and 32813?

Greatest common factor (GCF) of 32802 and 32813 is 11.

GCF(32802,32813) = 11

We will now calculate the prime factors of 32802 and 32813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32802 and 32813.

How to find the GCF of 32802 and 32813?

We will first find the prime factorization of 32802 and 32813. After we will calculate the factors of 32802 and 32813 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 32813

Prime factors of 32813 are 11, 19, 157. Prime factorization of 32813 in exponential form is:

32813 = 11¹ × 19¹ × 157¹

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 32813

List of positive integer factors of 32813 that divides 32802 without a remainder.

1, 11, 19, 157, 209, 1727, 2983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32802 and 32813. The biggest common factor number is the GCF number.
So the greatest common factor 32802 and 32813 is 11.

Also check out the Least Common Multiple of 32802 and 32813