What is the Greatest Common Factor of 28014 and 28021?

Greatest common factor (GCF) of 28014 and 28021 is 7.

GCF(28014,28021) = 7

We will now calculate the prime factors of 28014 and 28021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28014 and 28021.

How to find the GCF of 28014 and 28021?

We will first find the prime factorization of 28014 and 28021. After we will calculate the factors of 28014 and 28021 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28021

Prime factors of 28021 are 7, 4003. Prime factorization of 28021 in exponential form is:

28021 = 7¹ × 4003¹

Step-3: Factors of 28014

List of positive integer factors of 28014 that divides 28014 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

Step-4: Factors of 28021

List of positive integer factors of 28021 that divides 28014 without a remainder.

1, 7, 4003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28014 and 28021. The biggest common factor number is the GCF number.
So the greatest common factor 28014 and 28021 is 7.

Also check out the Least Common Multiple of 28014 and 28021