What is the Greatest Common Factor of 29252 and 29256?

Greatest common factor (GCF) of 29252 and 29256 is 4.

GCF(29252,29256) = 4

We will now calculate the prime factors of 29252 and 29256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29252 and 29256.

How to find the GCF of 29252 and 29256?

We will first find the prime factorization of 29252 and 29256. After we will calculate the factors of 29252 and 29256 and find the biggest common factor number .

Step-1: Prime Factorization of 29252

Prime factors of 29252 are 2, 71, 103. Prime factorization of 29252 in exponential form is:

29252 = 2² × 71¹ × 103¹

Step-2: Prime Factorization of 29256

Prime factors of 29256 are 2, 3, 23, 53. Prime factorization of 29256 in exponential form is:

29256 = 2³ × 3¹ × 23¹ × 53¹

Step-3: Factors of 29252

List of positive integer factors of 29252 that divides 29252 without a remainder.

1, 2, 4, 71, 103, 142, 206, 284, 412, 7313, 14626

Step-4: Factors of 29256

List of positive integer factors of 29256 that divides 29252 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 53, 69, 92, 106, 138, 159, 184, 212, 276, 318, 424, 552, 636, 1219, 1272, 2438, 3657, 4876, 7314, 9752, 14628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29252 and 29256. The biggest common factor number is the GCF number.
So the greatest common factor 29252 and 29256 is 4.

Also check out the Least Common Multiple of 29252 and 29256