What is the Greatest Common Factor of 28240 and 28254?

Greatest common factor (GCF) of 28240 and 28254 is 2.

GCF(28240,28254) = 2

We will now calculate the prime factors of 28240 and 28254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28240 and 28254.

How to find the GCF of 28240 and 28254?

We will first find the prime factorization of 28240 and 28254. After we will calculate the factors of 28240 and 28254 and find the biggest common factor number .

Step-1: Prime Factorization of 28240

Prime factors of 28240 are 2, 5, 353. Prime factorization of 28240 in exponential form is:

28240 = 2⁴ × 5¹ × 353¹

Step-2: Prime Factorization of 28254

Prime factors of 28254 are 2, 3, 17, 277. Prime factorization of 28254 in exponential form is:

28254 = 2¹ × 3¹ × 17¹ × 277¹

Step-3: Factors of 28240

List of positive integer factors of 28240 that divides 28240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 353, 706, 1412, 1765, 2824, 3530, 5648, 7060, 14120

Step-4: Factors of 28254

List of positive integer factors of 28254 that divides 28240 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 277, 554, 831, 1662, 4709, 9418, 14127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28240 and 28254. The biggest common factor number is the GCF number.
So the greatest common factor 28240 and 28254 is 2.

Also check out the Least Common Multiple of 28240 and 28254