What is the Greatest Common Factor of 28014 and 28034?

Greatest common factor (GCF) of 28014 and 28034 is 2.

GCF(28014,28034) = 2

We will now calculate the prime factors of 28014 and 28034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28014 and 28034.

How to find the GCF of 28014 and 28034?

We will first find the prime factorization of 28014 and 28034. After we will calculate the factors of 28014 and 28034 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 28034

Prime factors of 28034 are 2, 107, 131. Prime factorization of 28034 in exponential form is:

28034 = 2¹ × 107¹ × 131¹

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 28034

List of positive integer factors of 28034 that divides 28014 without a remainder.

1, 2, 107, 131, 214, 262, 14017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28014 and 28034. The biggest common factor number is the GCF number.
So the greatest common factor 28014 and 28034 is 2.

Also check out the Least Common Multiple of 28014 and 28034