What is the Greatest Common Factor of 29456 and 29473?

Greatest common factor (GCF) of 29456 and 29473 is 1.

GCF(29456,29473) = 1

We will now calculate the prime factors of 29456 and 29473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29456 and 29473.

How to find the GCF of 29456 and 29473?

We will first find the prime factorization of 29456 and 29473. After we will calculate the factors of 29456 and 29473 and find the biggest common factor number .

Step-1: Prime Factorization of 29456

Prime factors of 29456 are 2, 7, 263. Prime factorization of 29456 in exponential form is:

29456 = 2⁴ × 7¹ × 263¹

Step-2: Prime Factorization of 29473

Prime factors of 29473 are 29473. Prime factorization of 29473 in exponential form is:

29473 = 29473¹

Step-3: Factors of 29456

List of positive integer factors of 29456 that divides 29456 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 263, 526, 1052, 1841, 2104, 3682, 4208, 7364, 14728

Step-4: Factors of 29473

List of positive integer factors of 29473 that divides 29456 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29456 and 29473. The biggest common factor number is the GCF number.
So the greatest common factor 29456 and 29473 is 1.

Also check out the Least Common Multiple of 29456 and 29473