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What is the Greatest Common Factor of 28740 and 28755?

Greatest common factor (GCF) of 28740 and 28755 is 15.

GCF(28740,28755) = 15

We will now calculate the prime factors of 28740 and 28755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28740 and 28755.

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How to find the GCF of 28740 and 28755?

We will first find the prime factorization of 28740 and 28755. After we will calculate the factors of 28740 and 28755 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 28755

Prime factors of 28755 are 3, 5, 71. Prime factorization of 28755 in exponential form is:

28755 = 34 × 51 × 711

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 28755

List of positive integer factors of 28755 that divides 28740 without a remainder.

1, 3, 5, 9, 15, 27, 45, 71, 81, 135, 213, 355, 405, 639, 1065, 1917, 3195, 5751, 9585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28740 and 28755. The biggest common factor number is the GCF number.
So the greatest common factor 28740 and 28755 is 15.

Also check out the Least Common Multiple of 28740 and 28755