What is the Greatest Common Factor of 29248 and 29264?

Greatest common factor (GCF) of 29248 and 29264 is 16.

GCF(29248,29264) = 16

We will now calculate the prime factors of 29248 and 29264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29248 and 29264.

How to find the GCF of 29248 and 29264?

We will first find the prime factorization of 29248 and 29264. After we will calculate the factors of 29248 and 29264 and find the biggest common factor number .

Step-1: Prime Factorization of 29248

Prime factors of 29248 are 2, 457. Prime factorization of 29248 in exponential form is:

29248 = 2⁶ × 457¹

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 29248

List of positive integer factors of 29248 that divides 29248 without a remainder.

1, 2, 4, 8, 16, 32, 64, 457, 914, 1828, 3656, 7312, 14624

Step-4: Factors of 29264

List of positive integer factors of 29264 that divides 29248 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 29248 and 29264. The biggest common factor number is the GCF number.
So the greatest common factor 29248 and 29264 is 16.

Also check out the Least Common Multiple of 29248 and 29264