What is the Greatest Common Factor of 15474 and 15480?

Greatest common factor (GCF) of 15474 and 15480 is 6.

GCF(15474,15480) = 6

We will now calculate the prime factors of 15474 and 15480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15474 and 15480.

How to find the GCF of 15474 and 15480?

We will first find the prime factorization of 15474 and 15480. After we will calculate the factors of 15474 and 15480 and find the biggest common factor number .

Step-1: Prime Factorization of 15474

Prime factors of 15474 are 2, 3, 2579. Prime factorization of 15474 in exponential form is:

15474 = 2¹ × 3¹ × 2579¹

Step-2: Prime Factorization of 15480

Prime factors of 15480 are 2, 3, 5, 43. Prime factorization of 15480 in exponential form is:

15480 = 2³ × 3² × 5¹ × 43¹

Step-3: Factors of 15474

List of positive integer factors of 15474 that divides 15474 without a remainder.

1, 2, 3, 6, 2579, 5158, 7737

Step-4: Factors of 15480

List of positive integer factors of 15480 that divides 15474 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 43, 45, 60, 72, 86, 90, 120, 129, 172, 180, 215, 258, 344, 360, 387, 430, 516, 645, 774, 860, 1032, 1290, 1548, 1720, 1935, 2580, 3096, 3870, 5160, 7740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15474 and 15480. The biggest common factor number is the GCF number.
So the greatest common factor 15474 and 15480 is 6.

Also check out the Least Common Multiple of 15474 and 15480