What is the Greatest Common Factor of 28070 and 28084?

Greatest common factor (GCF) of 28070 and 28084 is 14.

GCF(28070,28084) = 14

We will now calculate the prime factors of 28070 and 28084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28070 and 28084.

How to find the GCF of 28070 and 28084?

We will first find the prime factorization of 28070 and 28084. After we will calculate the factors of 28070 and 28084 and find the biggest common factor number .

Step-1: Prime Factorization of 28070

Prime factors of 28070 are 2, 5, 7, 401. Prime factorization of 28070 in exponential form is:

28070 = 2¹ × 5¹ × 7¹ × 401¹

Step-2: 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-3: Factors of 28070

List of positive integer factors of 28070 that divides 28070 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 401, 802, 2005, 2807, 4010, 5614, 14035

Step-4: Factors of 28084

List of positive integer factors of 28084 that divides 28070 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28070 and 28084. The biggest common factor number is the GCF number.
So the greatest common factor 28070 and 28084 is 14.

Also check out the Least Common Multiple of 28070 and 28084