What is the Greatest Common Factor of 28144 and 28152?

Greatest common factor (GCF) of 28144 and 28152 is 8.

GCF(28144,28152) = 8

We will now calculate the prime factors of 28144 and 28152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28144 and 28152.

How to find the GCF of 28144 and 28152?

We will first find the prime factorization of 28144 and 28152. After we will calculate the factors of 28144 and 28152 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 28152

Prime factors of 28152 are 2, 3, 17, 23. Prime factorization of 28152 in exponential form is:

28152 = 2³ × 3² × 17¹ × 23¹

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 28152

List of positive integer factors of 28152 that divides 28144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 23, 24, 34, 36, 46, 51, 68, 69, 72, 92, 102, 136, 138, 153, 184, 204, 207, 276, 306, 391, 408, 414, 552, 612, 782, 828, 1173, 1224, 1564, 1656, 2346, 3128, 3519, 4692, 7038, 9384, 14076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28144 and 28152. The biggest common factor number is the GCF number.
So the greatest common factor 28144 and 28152 is 8.

Also check out the Least Common Multiple of 28144 and 28152