What is the Greatest Common Factor of 28470 and 28484?

Greatest common factor (GCF) of 28470 and 28484 is 2.

GCF(28470,28484) = 2

We will now calculate the prime factors of 28470 and 28484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28470 and 28484.

How to find the GCF of 28470 and 28484?

We will first find the prime factorization of 28470 and 28484. After we will calculate the factors of 28470 and 28484 and find the biggest common factor number .

Step-1: Prime Factorization of 28470

Prime factors of 28470 are 2, 3, 5, 13, 73. Prime factorization of 28470 in exponential form is:

28470 = 2¹ × 3¹ × 5¹ × 13¹ × 73¹

Step-2: Prime Factorization of 28484

Prime factors of 28484 are 2, 7121. Prime factorization of 28484 in exponential form is:

28484 = 2² × 7121¹

Step-3: Factors of 28470

List of positive integer factors of 28470 that divides 28470 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 73, 78, 130, 146, 195, 219, 365, 390, 438, 730, 949, 1095, 1898, 2190, 2847, 4745, 5694, 9490, 14235

Step-4: Factors of 28484

List of positive integer factors of 28484 that divides 28470 without a remainder.

1, 2, 4, 7121, 14242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28470 and 28484. The biggest common factor number is the GCF number.
So the greatest common factor 28470 and 28484 is 2.

Also check out the Least Common Multiple of 28470 and 28484