What is the Greatest Common Factor of 28980 and 28995?

Greatest common factor (GCF) of 28980 and 28995 is 15.

GCF(28980,28995) = 15

We will now calculate the prime factors of 28980 and 28995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28980 and 28995.

How to find the GCF of 28980 and 28995?

We will first find the prime factorization of 28980 and 28995. After we will calculate the factors of 28980 and 28995 and find the biggest common factor number .

Step-1: Prime Factorization of 28980

Prime factors of 28980 are 2, 3, 5, 7, 23. Prime factorization of 28980 in exponential form is:

28980 = 2² × 3² × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 28995

Prime factors of 28995 are 3, 5, 1933. Prime factorization of 28995 in exponential form is:

28995 = 3¹ × 5¹ × 1933¹

Step-3: Factors of 28980

List of positive integer factors of 28980 that divides 28980 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 23, 28, 30, 35, 36, 42, 45, 46, 60, 63, 69, 70, 84, 90, 92, 105, 115, 126, 138, 140, 161, 180, 207, 210, 230, 252, 276, 315, 322, 345, 414, 420, 460, 483, 630, 644, 690, 805, 828, 966, 1035, 1260, 1380, 1449, 1610, 1932, 2070, 2415, 2898, 3220, 4140, 4830, 5796, 7245, 9660, 14490

Step-4: Factors of 28995

List of positive integer factors of 28995 that divides 28980 without a remainder.

1, 3, 5, 15, 1933, 5799, 9665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28980 and 28995. The biggest common factor number is the GCF number.
So the greatest common factor 28980 and 28995 is 15.

Also check out the Least Common Multiple of 28980 and 28995