What is the Greatest Common Factor of 29471 and 29489?

Greatest common factor (GCF) of 29471 and 29489 is 1.

GCF(29471,29489) = 1

We will now calculate the prime factors of 29471 and 29489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29471 and 29489.

How to find the GCF of 29471 and 29489?

We will first find the prime factorization of 29471 and 29489. After we will calculate the factors of 29471 and 29489 and find the biggest common factor number .

Step-1: Prime Factorization of 29471

Prime factors of 29471 are 13, 2267. Prime factorization of 29471 in exponential form is:

29471 = 13¹ × 2267¹

Step-2: Prime Factorization of 29489

Prime factors of 29489 are 37, 797. Prime factorization of 29489 in exponential form is:

29489 = 37¹ × 797¹

Step-3: Factors of 29471

List of positive integer factors of 29471 that divides 29471 without a remainder.

1, 13, 2267

Step-4: Factors of 29489

List of positive integer factors of 29489 that divides 29471 without a remainder.

1, 37, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29471 and 29489. The biggest common factor number is the GCF number.
So the greatest common factor 29471 and 29489 is 1.

Also check out the Least Common Multiple of 29471 and 29489