What is the Greatest Common Factor of 29140 and 29149?

Greatest common factor (GCF) of 29140 and 29149 is 1.

GCF(29140,29149) = 1

We will now calculate the prime factors of 29140 and 29149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29140 and 29149.

How to find the GCF of 29140 and 29149?

We will first find the prime factorization of 29140 and 29149. After we will calculate the factors of 29140 and 29149 and find the biggest common factor number .

Step-1: Prime Factorization of 29140

Prime factors of 29140 are 2, 5, 31, 47. Prime factorization of 29140 in exponential form is:

29140 = 2² × 5¹ × 31¹ × 47¹

Step-2: Prime Factorization of 29149

Prime factors of 29149 are 103, 283. Prime factorization of 29149 in exponential form is:

29149 = 103¹ × 283¹

Step-3: Factors of 29140

List of positive integer factors of 29140 that divides 29140 without a remainder.

1, 2, 4, 5, 10, 20, 31, 47, 62, 94, 124, 155, 188, 235, 310, 470, 620, 940, 1457, 2914, 5828, 7285, 14570

Step-4: Factors of 29149

List of positive integer factors of 29149 that divides 29140 without a remainder.

1, 103, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29140 and 29149. The biggest common factor number is the GCF number.
So the greatest common factor 29140 and 29149 is 1.

Also check out the Least Common Multiple of 29140 and 29149