What is the Greatest Common Factor of 28084 and 28102?

Greatest common factor (GCF) of 28084 and 28102 is 2.

GCF(28084,28102) = 2

We will now calculate the prime factors of 28084 and 28102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28084 and 28102.

How to find the GCF of 28084 and 28102?

We will first find the prime factorization of 28084 and 28102. After we will calculate the factors of 28084 and 28102 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 28102

Prime factors of 28102 are 2, 14051. Prime factorization of 28102 in exponential form is:

28102 = 2¹ × 14051¹

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 28102

List of positive integer factors of 28102 that divides 28084 without a remainder.

1, 2, 14051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28084 and 28102. The biggest common factor number is the GCF number.
So the greatest common factor 28084 and 28102 is 2.

Also check out the Least Common Multiple of 28084 and 28102