What is the Greatest Common Factor of 29829 and 29837?

Greatest common factor (GCF) of 29829 and 29837 is 1.

GCF(29829,29837) = 1

We will now calculate the prime factors of 29829 and 29837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29829 and 29837.

How to find the GCF of 29829 and 29837?

We will first find the prime factorization of 29829 and 29837. After we will calculate the factors of 29829 and 29837 and find the biggest common factor number .

Step-1: Prime Factorization of 29829

Prime factors of 29829 are 3, 61, 163. Prime factorization of 29829 in exponential form is:

29829 = 3¹ × 61¹ × 163¹

Step-2: Prime Factorization of 29837

Prime factors of 29837 are 29837. Prime factorization of 29837 in exponential form is:

29837 = 29837¹

Step-3: Factors of 29829

List of positive integer factors of 29829 that divides 29829 without a remainder.

1, 3, 61, 163, 183, 489, 9943

Step-4: Factors of 29837

List of positive integer factors of 29837 that divides 29829 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29829 and 29837. The biggest common factor number is the GCF number.
So the greatest common factor 29829 and 29837 is 1.

Also check out the Least Common Multiple of 29829 and 29837