What is the Greatest Common Factor of 28980 and 28990?

Greatest common factor (GCF) of 28980 and 28990 is 10.

GCF(28980,28990) = 10

We will now calculate the prime factors of 28980 and 28990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28980 and 28990.

How to find the GCF of 28980 and 28990?

We will first find the prime factorization of 28980 and 28990. After we will calculate the factors of 28980 and 28990 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 28990

Prime factors of 28990 are 2, 5, 13, 223. Prime factorization of 28990 in exponential form is:

28990 = 2¹ × 5¹ × 13¹ × 223¹

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 28990

List of positive integer factors of 28990 that divides 28980 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 223, 446, 1115, 2230, 2899, 5798, 14495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28980 and 28990. The biggest common factor number is the GCF number.
So the greatest common factor 28980 and 28990 is 10.

Also check out the Least Common Multiple of 28980 and 28990