What is the Greatest Common Factor of 29456 and 29468?

Greatest common factor (GCF) of 29456 and 29468 is 4.

GCF(29456,29468) = 4

We will now calculate the prime factors of 29456 and 29468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29456 and 29468.

How to find the GCF of 29456 and 29468?

We will first find the prime factorization of 29456 and 29468. After we will calculate the factors of 29456 and 29468 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 29468

Prime factors of 29468 are 2, 53, 139. Prime factorization of 29468 in exponential form is:

29468 = 2² × 53¹ × 139¹

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 29468

List of positive integer factors of 29468 that divides 29456 without a remainder.

1, 2, 4, 53, 106, 139, 212, 278, 556, 7367, 14734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29456 and 29468. The biggest common factor number is the GCF number.
So the greatest common factor 29456 and 29468 is 4.

Also check out the Least Common Multiple of 29456 and 29468