What is the Greatest Common Factor of 28144 and 28153?

Greatest common factor (GCF) of 28144 and 28153 is 1.

GCF(28144,28153) = 1

We will now calculate the prime factors of 28144 and 28153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28144 and 28153.

How to find the GCF of 28144 and 28153?

We will first find the prime factorization of 28144 and 28153. After we will calculate the factors of 28144 and 28153 and find the biggest common factor number .

Step-1: Prime Factorization of 28144

Prime factors of 28144 are 2, 1759. Prime factorization of 28144 in exponential form is:

28144 = 2⁴ × 1759¹

Step-2: Prime Factorization of 28153

Prime factors of 28153 are 47, 599. Prime factorization of 28153 in exponential form is:

28153 = 47¹ × 599¹

Step-3: Factors of 28144

List of positive integer factors of 28144 that divides 28144 without a remainder.

1, 2, 4, 8, 16, 1759, 3518, 7036, 14072

Step-4: Factors of 28153

List of positive integer factors of 28153 that divides 28144 without a remainder.

1, 47, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28144 and 28153. The biggest common factor number is the GCF number.
So the greatest common factor 28144 and 28153 is 1.

Also check out the Least Common Multiple of 28144 and 28153