What is the Greatest Common Factor of 28980 and 28992?

Greatest common factor (GCF) of 28980 and 28992 is 12.

GCF(28980,28992) = 12

We will now calculate the prime factors of 28980 and 28992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28980 and 28992.

How to find the GCF of 28980 and 28992?

We will first find the prime factorization of 28980 and 28992. After we will calculate the factors of 28980 and 28992 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 28992

Prime factors of 28992 are 2, 3, 151. Prime factorization of 28992 in exponential form is:

28992 = 2⁶ × 3¹ × 151¹

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 28992

List of positive integer factors of 28992 that divides 28980 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 151, 192, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 4832, 7248, 9664, 14496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28980 and 28992. The biggest common factor number is the GCF number.
So the greatest common factor 28980 and 28992 is 12.

Also check out the Least Common Multiple of 28980 and 28992