What is the Greatest Common Factor of 32692 and 32711?

Greatest common factor (GCF) of 32692 and 32711 is 1.

GCF(32692,32711) = 1

We will now calculate the prime factors of 32692 and 32711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32692 and 32711.

How to find the GCF of 32692 and 32711?

We will first find the prime factorization of 32692 and 32711. After we will calculate the factors of 32692 and 32711 and find the biggest common factor number .

Step-1: Prime Factorization of 32692

Prime factors of 32692 are 2, 11, 743. Prime factorization of 32692 in exponential form is:

32692 = 2² × 11¹ × 743¹

Step-2: Prime Factorization of 32711

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

32711 = 7¹ × 4673¹

Step-3: Factors of 32692

List of positive integer factors of 32692 that divides 32692 without a remainder.

1, 2, 4, 11, 22, 44, 743, 1486, 2972, 8173, 16346

Step-4: Factors of 32711

List of positive integer factors of 32711 that divides 32692 without a remainder.

1, 7, 4673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32692 and 32711. The biggest common factor number is the GCF number.
So the greatest common factor 32692 and 32711 is 1.

Also check out the Least Common Multiple of 32692 and 32711