What is the Greatest Common Factor of 63829 and 63837?

Greatest common factor (GCF) of 63829 and 63837 is 1.

GCF(63829,63837) = 1

We will now calculate the prime factors of 63829 and 63837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63829 and 63837.

How to find the GCF of 63829 and 63837?

We will first find the prime factorization of 63829 and 63837. After we will calculate the factors of 63829 and 63837 and find the biggest common factor number .

Step-1: Prime Factorization of 63829

Prime factors of 63829 are 29, 31, 71. Prime factorization of 63829 in exponential form is:

63829 = 29¹ × 31¹ × 71¹

Step-2: Prime Factorization of 63837

Prime factors of 63837 are 3, 41, 173. Prime factorization of 63837 in exponential form is:

63837 = 3² × 41¹ × 173¹

Step-3: Factors of 63829

List of positive integer factors of 63829 that divides 63829 without a remainder.

1, 29, 31, 71, 899, 2059, 2201

Step-4: Factors of 63837

List of positive integer factors of 63837 that divides 63829 without a remainder.

1, 3, 9, 41, 123, 173, 369, 519, 1557, 7093, 21279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63829 and 63837. The biggest common factor number is the GCF number.
So the greatest common factor 63829 and 63837 is 1.

Also check out the Least Common Multiple of 63829 and 63837