What is the Greatest Common Factor of 28966 and 28980?

Greatest common factor (GCF) of 28966 and 28980 is 14.

GCF(28966,28980) = 14

We will now calculate the prime factors of 28966 and 28980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28966 and 28980.

How to find the GCF of 28966 and 28980?

We will first find the prime factorization of 28966 and 28980. After we will calculate the factors of 28966 and 28980 and find the biggest common factor number .

Step-1: Prime Factorization of 28966

Prime factors of 28966 are 2, 7, 2069. Prime factorization of 28966 in exponential form is:

28966 = 2¹ × 7¹ × 2069¹

Step-2: 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-3: Factors of 28966

List of positive integer factors of 28966 that divides 28966 without a remainder.

1, 2, 7, 14, 2069, 4138, 14483

Step-4: Factors of 28980

List of positive integer factors of 28980 that divides 28966 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28966 and 28980. The biggest common factor number is the GCF number.
So the greatest common factor 28966 and 28980 is 14.

Also check out the Least Common Multiple of 28966 and 28980