What is the Greatest Common Factor of 28896 and 28910?

Greatest common factor (GCF) of 28896 and 28910 is 14.

GCF(28896,28910) = 14

We will now calculate the prime factors of 28896 and 28910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28896 and 28910.

How to find the GCF of 28896 and 28910?

We will first find the prime factorization of 28896 and 28910. After we will calculate the factors of 28896 and 28910 and find the biggest common factor number .

Step-1: Prime Factorization of 28896

Prime factors of 28896 are 2, 3, 7, 43. Prime factorization of 28896 in exponential form is:

28896 = 2⁵ × 3¹ × 7¹ × 43¹

Step-2: Prime Factorization of 28910

Prime factors of 28910 are 2, 5, 7, 59. Prime factorization of 28910 in exponential form is:

28910 = 2¹ × 5¹ × 7² × 59¹

Step-3: Factors of 28896

List of positive integer factors of 28896 that divides 28896 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 43, 48, 56, 84, 86, 96, 112, 129, 168, 172, 224, 258, 301, 336, 344, 516, 602, 672, 688, 903, 1032, 1204, 1376, 1806, 2064, 2408, 3612, 4128, 4816, 7224, 9632, 14448

Step-4: Factors of 28910

List of positive integer factors of 28910 that divides 28896 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 59, 70, 98, 118, 245, 295, 413, 490, 590, 826, 2065, 2891, 4130, 5782, 14455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28896 and 28910. The biggest common factor number is the GCF number.
So the greatest common factor 28896 and 28910 is 14.

Also check out the Least Common Multiple of 28896 and 28910