What is the Greatest Common Factor of 28925 and 28930?

Greatest common factor (GCF) of 28925 and 28930 is 5.

GCF(28925,28930) = 5

We will now calculate the prime factors of 28925 and 28930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28925 and 28930.

How to find the GCF of 28925 and 28930?

We will first find the prime factorization of 28925 and 28930. After we will calculate the factors of 28925 and 28930 and find the biggest common factor number .

Step-1: Prime Factorization of 28925

Prime factors of 28925 are 5, 13, 89. Prime factorization of 28925 in exponential form is:

28925 = 5² × 13¹ × 89¹

Step-2: Prime Factorization of 28930

Prime factors of 28930 are 2, 5, 11, 263. Prime factorization of 28930 in exponential form is:

28930 = 2¹ × 5¹ × 11¹ × 263¹

Step-3: Factors of 28925

List of positive integer factors of 28925 that divides 28925 without a remainder.

1, 5, 13, 25, 65, 89, 325, 445, 1157, 2225, 5785

Step-4: Factors of 28930

List of positive integer factors of 28930 that divides 28925 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 263, 526, 1315, 2630, 2893, 5786, 14465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28925 and 28930. The biggest common factor number is the GCF number.
So the greatest common factor 28925 and 28930 is 5.

Also check out the Least Common Multiple of 28925 and 28930