What is the Greatest Common Factor of 28084 and 28098?

Greatest common factor (GCF) of 28084 and 28098 is 14.

GCF(28084,28098) = 14

We will now calculate the prime factors of 28084 and 28098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28084 and 28098.

How to find the GCF of 28084 and 28098?

We will first find the prime factorization of 28084 and 28098. After we will calculate the factors of 28084 and 28098 and find the biggest common factor number .

Step-1: Prime Factorization of 28084

Prime factors of 28084 are 2, 7, 17, 59. Prime factorization of 28084 in exponential form is:

28084 = 2² × 7¹ × 17¹ × 59¹

Step-2: Prime Factorization of 28098

Prime factors of 28098 are 2, 3, 7, 223. Prime factorization of 28098 in exponential form is:

28098 = 2¹ × 3² × 7¹ × 223¹

Step-3: Factors of 28084

List of positive integer factors of 28084 that divides 28084 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 59, 68, 118, 119, 236, 238, 413, 476, 826, 1003, 1652, 2006, 4012, 7021, 14042

Step-4: Factors of 28098

List of positive integer factors of 28098 that divides 28084 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 223, 446, 669, 1338, 1561, 2007, 3122, 4014, 4683, 9366, 14049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28084 and 28098. The biggest common factor number is the GCF number.
So the greatest common factor 28084 and 28098 is 14.

Also check out the Least Common Multiple of 28084 and 28098