What is the Greatest Common Factor of 32829 and 32837?

Greatest common factor (GCF) of 32829 and 32837 is 1.

GCF(32829,32837) = 1

We will now calculate the prime factors of 32829 and 32837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32829 and 32837.

How to find the GCF of 32829 and 32837?

We will first find the prime factorization of 32829 and 32837. After we will calculate the factors of 32829 and 32837 and find the biggest common factor number .

Step-1: Prime Factorization of 32829

Prime factors of 32829 are 3, 31, 353. Prime factorization of 32829 in exponential form is:

32829 = 3¹ × 31¹ × 353¹

Step-2: Prime Factorization of 32837

Prime factors of 32837 are 7, 4691. Prime factorization of 32837 in exponential form is:

32837 = 7¹ × 4691¹

Step-3: Factors of 32829

List of positive integer factors of 32829 that divides 32829 without a remainder.

1, 3, 31, 93, 353, 1059, 10943

Step-4: Factors of 32837

List of positive integer factors of 32837 that divides 32829 without a remainder.

1, 7, 4691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32829 and 32837. The biggest common factor number is the GCF number.
So the greatest common factor 32829 and 32837 is 1.

Also check out the Least Common Multiple of 32829 and 32837