What is the Greatest Common Factor of 29449 and 29456?

Greatest common factor (GCF) of 29449 and 29456 is 7.

GCF(29449,29456) = 7

We will now calculate the prime factors of 29449 and 29456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29449 and 29456.

How to find the GCF of 29449 and 29456?

We will first find the prime factorization of 29449 and 29456. After we will calculate the factors of 29449 and 29456 and find the biggest common factor number .

Step-1: Prime Factorization of 29449

Prime factors of 29449 are 7, 601. Prime factorization of 29449 in exponential form is:

29449 = 7² × 601¹

Step-2: 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-3: Factors of 29449

List of positive integer factors of 29449 that divides 29449 without a remainder.

1, 7, 49, 601, 4207

Step-4: Factors of 29456

List of positive integer factors of 29456 that divides 29449 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29449 and 29456. The biggest common factor number is the GCF number.
So the greatest common factor 29449 and 29456 is 7.

Also check out the Least Common Multiple of 29449 and 29456