What is the Greatest Common Factor of 28034 and 28054?

Greatest common factor (GCF) of 28034 and 28054 is 2.

GCF(28034,28054) = 2

We will now calculate the prime factors of 28034 and 28054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28034 and 28054.

How to find the GCF of 28034 and 28054?

We will first find the prime factorization of 28034 and 28054. After we will calculate the factors of 28034 and 28054 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28054

Prime factors of 28054 are 2, 13, 83. Prime factorization of 28054 in exponential form is:

28054 = 2¹ × 13² × 83¹

Step-3: Factors of 28034

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

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

Step-4: Factors of 28054

List of positive integer factors of 28054 that divides 28034 without a remainder.

1, 2, 13, 26, 83, 166, 169, 338, 1079, 2158, 14027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28034 and 28054. The biggest common factor number is the GCF number.
So the greatest common factor 28034 and 28054 is 2.

Also check out the Least Common Multiple of 28034 and 28054