What is the Greatest Common Factor of 28142 and 28154?

Greatest common factor (GCF) of 28142 and 28154 is 2.

GCF(28142,28154) = 2

We will now calculate the prime factors of 28142 and 28154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28142 and 28154.

How to find the GCF of 28142 and 28154?

We will first find the prime factorization of 28142 and 28154. After we will calculate the factors of 28142 and 28154 and find the biggest common factor number .

Step-1: Prime Factorization of 28142

Prime factors of 28142 are 2, 14071. Prime factorization of 28142 in exponential form is:

28142 = 2¹ × 14071¹

Step-2: Prime Factorization of 28154

Prime factors of 28154 are 2, 7, 2011. Prime factorization of 28154 in exponential form is:

28154 = 2¹ × 7¹ × 2011¹

Step-3: Factors of 28142

List of positive integer factors of 28142 that divides 28142 without a remainder.

1, 2, 14071

Step-4: Factors of 28154

List of positive integer factors of 28154 that divides 28142 without a remainder.

1, 2, 7, 14, 2011, 4022, 14077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28142 and 28154. The biggest common factor number is the GCF number.
So the greatest common factor 28142 and 28154 is 2.

Also check out the Least Common Multiple of 28142 and 28154