What is the Greatest Common Factor of 28840 and 28854?

Greatest common factor (GCF) of 28840 and 28854 is 14.

GCF(28840,28854) = 14

We will now calculate the prime factors of 28840 and 28854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28840 and 28854.

How to find the GCF of 28840 and 28854?

We will first find the prime factorization of 28840 and 28854. After we will calculate the factors of 28840 and 28854 and find the biggest common factor number .

Step-1: Prime Factorization of 28840

Prime factors of 28840 are 2, 5, 7, 103. Prime factorization of 28840 in exponential form is:

28840 = 2³ × 5¹ × 7¹ × 103¹

Step-2: Prime Factorization of 28854

Prime factors of 28854 are 2, 3, 7, 229. Prime factorization of 28854 in exponential form is:

28854 = 2¹ × 3² × 7¹ × 229¹

Step-3: Factors of 28840

List of positive integer factors of 28840 that divides 28840 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 103, 140, 206, 280, 412, 515, 721, 824, 1030, 1442, 2060, 2884, 3605, 4120, 5768, 7210, 14420

Step-4: Factors of 28854

List of positive integer factors of 28854 that divides 28840 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 229, 458, 687, 1374, 1603, 2061, 3206, 4122, 4809, 9618, 14427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28840 and 28854. The biggest common factor number is the GCF number.
So the greatest common factor 28840 and 28854 is 14.

Also check out the Least Common Multiple of 28840 and 28854