What is the Greatest Common Factor of 12473 and 12480?

Greatest common factor (GCF) of 12473 and 12480 is 1.

GCF(12473,12480) = 1

We will now calculate the prime factors of 12473 and 12480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12473 and 12480.

How to find the GCF of 12473 and 12480?

We will first find the prime factorization of 12473 and 12480. After we will calculate the factors of 12473 and 12480 and find the biggest common factor number .

Step-1: Prime Factorization of 12473

Prime factors of 12473 are 12473. Prime factorization of 12473 in exponential form is:

12473 = 12473¹

Step-2: Prime Factorization of 12480

Prime factors of 12480 are 2, 3, 5, 13. Prime factorization of 12480 in exponential form is:

12480 = 2⁶ × 3¹ × 5¹ × 13¹

Step-3: Factors of 12473

List of positive integer factors of 12473 that divides 12473 without a remainder.

Step-4: Factors of 12480

List of positive integer factors of 12480 that divides 12473 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 64, 65, 78, 80, 96, 104, 120, 130, 156, 160, 192, 195, 208, 240, 260, 312, 320, 390, 416, 480, 520, 624, 780, 832, 960, 1040, 1248, 1560, 2080, 2496, 3120, 4160, 6240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12473 and 12480. The biggest common factor number is the GCF number.
So the greatest common factor 12473 and 12480 is 1.

Also check out the Least Common Multiple of 12473 and 12480