What is the Greatest Common Factor of 28980 and 28998?

Greatest common factor (GCF) of 28980 and 28998 is 18.

GCF(28980,28998) = 18

We will now calculate the prime factors of 28980 and 28998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28980 and 28998.

How to find the GCF of 28980 and 28998?

We will first find the prime factorization of 28980 and 28998. After we will calculate the factors of 28980 and 28998 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 28998

Prime factors of 28998 are 2, 3, 179. Prime factorization of 28998 in exponential form is:

28998 = 2¹ × 3⁴ × 179¹

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 28998

List of positive integer factors of 28998 that divides 28980 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 179, 358, 537, 1074, 1611, 3222, 4833, 9666, 14499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28980 and 28998. The biggest common factor number is the GCF number.
So the greatest common factor 28980 and 28998 is 18.

Also check out the Least Common Multiple of 28980 and 28998