What is the Greatest Common Factor of 28910 and 28925?

Greatest common factor (GCF) of 28910 and 28925 is 5.

GCF(28910,28925) = 5

We will now calculate the prime factors of 28910 and 28925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28910 and 28925.

How to find the GCF of 28910 and 28925?

We will first find the prime factorization of 28910 and 28925. After we will calculate the factors of 28910 and 28925 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 28910

List of positive integer factors of 28910 that divides 28910 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

Step-4: Factors of 28925

List of positive integer factors of 28925 that divides 28910 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28910 and 28925. The biggest common factor number is the GCF number.
So the greatest common factor 28910 and 28925 is 5.

Also check out the Least Common Multiple of 28910 and 28925