What is the Greatest Common Factor of 32711 and 32718?

Greatest common factor (GCF) of 32711 and 32718 is 7.

GCF(32711,32718) = 7

We will now calculate the prime factors of 32711 and 32718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32711 and 32718.

How to find the GCF of 32711 and 32718?

We will first find the prime factorization of 32711 and 32718. After we will calculate the factors of 32711 and 32718 and find the biggest common factor number .

Step-1: Prime Factorization of 32711

Prime factors of 32711 are 7, 4673. Prime factorization of 32711 in exponential form is:

32711 = 7¹ × 4673¹

Step-2: Prime Factorization of 32718

Prime factors of 32718 are 2, 3, 7, 19, 41. Prime factorization of 32718 in exponential form is:

32718 = 2¹ × 3¹ × 7¹ × 19¹ × 41¹

Step-3: Factors of 32711

List of positive integer factors of 32711 that divides 32711 without a remainder.

1, 7, 4673

Step-4: Factors of 32718

List of positive integer factors of 32718 that divides 32711 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 41, 42, 57, 82, 114, 123, 133, 246, 266, 287, 399, 574, 779, 798, 861, 1558, 1722, 2337, 4674, 5453, 10906, 16359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32711 and 32718. The biggest common factor number is the GCF number.
So the greatest common factor 32711 and 32718 is 7.

Also check out the Least Common Multiple of 32711 and 32718