What is the Greatest Common Factor of 28470 and 28480?

Greatest common factor (GCF) of 28470 and 28480 is 10.

GCF(28470,28480) = 10

We will now calculate the prime factors of 28470 and 28480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28470 and 28480.

How to find the GCF of 28470 and 28480?

We will first find the prime factorization of 28470 and 28480. After we will calculate the factors of 28470 and 28480 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 28480

Prime factors of 28480 are 2, 5, 89. Prime factorization of 28480 in exponential form is:

28480 = 2⁶ × 5¹ × 89¹

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 28480

List of positive integer factors of 28480 that divides 28470 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 89, 160, 178, 320, 356, 445, 712, 890, 1424, 1780, 2848, 3560, 5696, 7120, 14240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28470 and 28480. The biggest common factor number is the GCF number.
So the greatest common factor 28470 and 28480 is 10.

Also check out the Least Common Multiple of 28470 and 28480