What is the Greatest Common Factor of 29038 and 29049?

Greatest common factor (GCF) of 29038 and 29049 is 1.

GCF(29038,29049) = 1

We will now calculate the prime factors of 29038 and 29049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29038 and 29049.

How to find the GCF of 29038 and 29049?

We will first find the prime factorization of 29038 and 29049. After we will calculate the factors of 29038 and 29049 and find the biggest common factor number .

Step-1: Prime Factorization of 29038

Prime factors of 29038 are 2, 14519. Prime factorization of 29038 in exponential form is:

29038 = 2¹ × 14519¹

Step-2: Prime Factorization of 29049

Prime factors of 29049 are 3, 23, 421. Prime factorization of 29049 in exponential form is:

29049 = 3¹ × 23¹ × 421¹

Step-3: Factors of 29038

List of positive integer factors of 29038 that divides 29038 without a remainder.

1, 2, 14519

Step-4: Factors of 29049

List of positive integer factors of 29049 that divides 29038 without a remainder.

1, 3, 23, 69, 421, 1263, 9683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29038 and 29049. The biggest common factor number is the GCF number.
So the greatest common factor 29038 and 29049 is 1.

Also check out the Least Common Multiple of 29038 and 29049