What is the Greatest Common Factor of 29458 and 29471?

Greatest common factor (GCF) of 29458 and 29471 is 13.

GCF(29458,29471) = 13

We will now calculate the prime factors of 29458 and 29471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29458 and 29471.

How to find the GCF of 29458 and 29471?

We will first find the prime factorization of 29458 and 29471. After we will calculate the factors of 29458 and 29471 and find the biggest common factor number .

Step-1: Prime Factorization of 29458

Prime factors of 29458 are 2, 11, 13, 103. Prime factorization of 29458 in exponential form is:

29458 = 2¹ × 11¹ × 13¹ × 103¹

Step-2: Prime Factorization of 29471

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

29471 = 13¹ × 2267¹

Step-3: Factors of 29458

List of positive integer factors of 29458 that divides 29458 without a remainder.

1, 2, 11, 13, 22, 26, 103, 143, 206, 286, 1133, 1339, 2266, 2678, 14729

Step-4: Factors of 29471

List of positive integer factors of 29471 that divides 29458 without a remainder.

1, 13, 2267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29458 and 29471. The biggest common factor number is the GCF number.
So the greatest common factor 29458 and 29471 is 13.

Also check out the Least Common Multiple of 29458 and 29471