What is the Greatest Common Factor of 28980 and 28985?

Greatest common factor (GCF) of 28980 and 28985 is 5.

GCF(28980,28985) = 5

We will now calculate the prime factors of 28980 and 28985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28980 and 28985.

How to find the GCF of 28980 and 28985?

We will first find the prime factorization of 28980 and 28985. After we will calculate the factors of 28980 and 28985 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 28985

Prime factors of 28985 are 5, 11, 17, 31. Prime factorization of 28985 in exponential form is:

28985 = 5¹ × 11¹ × 17¹ × 31¹

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 28985

List of positive integer factors of 28985 that divides 28980 without a remainder.

1, 5, 11, 17, 31, 55, 85, 155, 187, 341, 527, 935, 1705, 2635, 5797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28980 and 28985. The biggest common factor number is the GCF number.
So the greatest common factor 28980 and 28985 is 5.

Also check out the Least Common Multiple of 28980 and 28985