What is the Greatest Common Factor of 28007 and 28014?

Greatest common factor (GCF) of 28007 and 28014 is 7.

GCF(28007,28014) = 7

We will now calculate the prime factors of 28007 and 28014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28007 and 28014.

How to find the GCF of 28007 and 28014?

We will first find the prime factorization of 28007 and 28014. After we will calculate the factors of 28007 and 28014 and find the biggest common factor number .

Step-1: Prime Factorization of 28007

Prime factors of 28007 are 7, 4001. Prime factorization of 28007 in exponential form is:

28007 = 7¹ × 4001¹

Step-2: Prime Factorization of 28014

Prime factors of 28014 are 2, 3, 7, 23, 29. Prime factorization of 28014 in exponential form is:

28014 = 2¹ × 3¹ × 7¹ × 23¹ × 29¹

Step-3: Factors of 28007

List of positive integer factors of 28007 that divides 28007 without a remainder.

1, 7, 4001

Step-4: Factors of 28014

List of positive integer factors of 28014 that divides 28007 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 29, 42, 46, 58, 69, 87, 138, 161, 174, 203, 322, 406, 483, 609, 667, 966, 1218, 1334, 2001, 4002, 4669, 9338, 14007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28007 and 28014. The biggest common factor number is the GCF number.
So the greatest common factor 28007 and 28014 is 7.

Also check out the Least Common Multiple of 28007 and 28014