What is the Greatest Common Factor of 28054 and 28072?

Greatest common factor (GCF) of 28054 and 28072 is 2.

GCF(28054,28072) = 2

We will now calculate the prime factors of 28054 and 28072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28054 and 28072.

How to find the GCF of 28054 and 28072?

We will first find the prime factorization of 28054 and 28072. After we will calculate the factors of 28054 and 28072 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28072

Prime factors of 28072 are 2, 11, 29. Prime factorization of 28072 in exponential form is:

28072 = 2³ × 11² × 29¹

Step-3: Factors of 28054

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

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

Step-4: Factors of 28072

List of positive integer factors of 28072 that divides 28054 without a remainder.

1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 121, 232, 242, 319, 484, 638, 968, 1276, 2552, 3509, 7018, 14036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28054 and 28072. The biggest common factor number is the GCF number.
So the greatest common factor 28054 and 28072 is 2.

Also check out the Least Common Multiple of 28054 and 28072