What is the Greatest Common Factor of 29256 and 29264?

Greatest common factor (GCF) of 29256 and 29264 is 8.

GCF(29256,29264) = 8

We will now calculate the prime factors of 29256 and 29264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29256 and 29264.

How to find the GCF of 29256 and 29264?

We will first find the prime factorization of 29256 and 29264. After we will calculate the factors of 29256 and 29264 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 29264

Prime factors of 29264 are 2, 31, 59. Prime factorization of 29264 in exponential form is:

29264 = 2⁴ × 31¹ × 59¹

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 29264

List of positive integer factors of 29264 that divides 29256 without a remainder.

1, 2, 4, 8, 16, 31, 59, 62, 118, 124, 236, 248, 472, 496, 944, 1829, 3658, 7316, 14632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29256 and 29264. The biggest common factor number is the GCF number.
So the greatest common factor 29256 and 29264 is 8.

Also check out the Least Common Multiple of 29256 and 29264