What is the Greatest Common Factor of 28825 and 28840?

Greatest common factor (GCF) of 28825 and 28840 is 5.

GCF(28825,28840) = 5

We will now calculate the prime factors of 28825 and 28840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28825 and 28840.

How to find the GCF of 28825 and 28840?

We will first find the prime factorization of 28825 and 28840. After we will calculate the factors of 28825 and 28840 and find the biggest common factor number .

Step-1: Prime Factorization of 28825

Prime factors of 28825 are 5, 1153. Prime factorization of 28825 in exponential form is:

28825 = 5² × 1153¹

Step-2: 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-3: Factors of 28825

List of positive integer factors of 28825 that divides 28825 without a remainder.

1, 5, 25, 1153, 5765

Step-4: Factors of 28840

List of positive integer factors of 28840 that divides 28825 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28825 and 28840. The biggest common factor number is the GCF number.
So the greatest common factor 28825 and 28840 is 5.

Also check out the Least Common Multiple of 28825 and 28840