What is the Greatest Common Factor of 28740 and 28760?

Greatest common factor (GCF) of 28740 and 28760 is 20.

GCF(28740,28760) = 20

We will now calculate the prime factors of 28740 and 28760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28740 and 28760.

How to find the GCF of 28740 and 28760?

We will first find the prime factorization of 28740 and 28760. After we will calculate the factors of 28740 and 28760 and find the biggest common factor number .

Step-1: Prime Factorization of 28740

Prime factors of 28740 are 2, 3, 5, 479. Prime factorization of 28740 in exponential form is:

28740 = 2² × 3¹ × 5¹ × 479¹

Step-2: Prime Factorization of 28760

Prime factors of 28760 are 2, 5, 719. Prime factorization of 28760 in exponential form is:

28760 = 2³ × 5¹ × 719¹

Step-3: Factors of 28740

List of positive integer factors of 28740 that divides 28740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 479, 958, 1437, 1916, 2395, 2874, 4790, 5748, 7185, 9580, 14370

Step-4: Factors of 28760

List of positive integer factors of 28760 that divides 28740 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 719, 1438, 2876, 3595, 5752, 7190, 14380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28740 and 28760. The biggest common factor number is the GCF number.
So the greatest common factor 28740 and 28760 is 20.

Also check out the Least Common Multiple of 28740 and 28760