What is the Greatest Common Factor of 29256 and 29275?

Greatest common factor (GCF) of 29256 and 29275 is 1.

GCF(29256,29275) = 1

We will now calculate the prime factors of 29256 and 29275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29256 and 29275.

How to find the GCF of 29256 and 29275?

We will first find the prime factorization of 29256 and 29275. After we will calculate the factors of 29256 and 29275 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29275

Prime factors of 29275 are 5, 1171. Prime factorization of 29275 in exponential form is:

29275 = 5² × 1171¹

Step-3: Factors of 29256

List of positive integer factors of 29256 that divides 29256 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

Step-4: Factors of 29275

List of positive integer factors of 29275 that divides 29256 without a remainder.

1, 5, 25, 1171, 5855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29256 and 29275. The biggest common factor number is the GCF number.
So the greatest common factor 29256 and 29275 is 1.

Also check out the Least Common Multiple of 29256 and 29275