What is the Greatest Common Factor of 29256 and 29267?

Greatest common factor (GCF) of 29256 and 29267 is 1.

GCF(29256,29267) = 1

We will now calculate the prime factors of 29256 and 29267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29256 and 29267.

How to find the GCF of 29256 and 29267?

We will first find the prime factorization of 29256 and 29267. After we will calculate the factors of 29256 and 29267 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 29267

Prime factors of 29267 are 7, 37, 113. Prime factorization of 29267 in exponential form is:

29267 = 7¹ × 37¹ × 113¹

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 29267

List of positive integer factors of 29267 that divides 29256 without a remainder.

1, 7, 37, 113, 259, 791, 4181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29256 and 29267. The biggest common factor number is the GCF number.
So the greatest common factor 29256 and 29267 is 1.

Also check out the Least Common Multiple of 29256 and 29267