What is the Greatest Common Factor of 10406 and 10416?

Greatest common factor (GCF) of 10406 and 10416 is 2.

GCF(10406,10416) = 2

We will now calculate the prime factors of 10406 and 10416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10406 and 10416.

How to find the GCF of 10406 and 10416?

We will first find the prime factorization of 10406 and 10416. After we will calculate the factors of 10406 and 10416 and find the biggest common factor number .

Step-1: Prime Factorization of 10406

Prime factors of 10406 are 2, 11, 43. Prime factorization of 10406 in exponential form is:

10406 = 2¹ × 11² × 43¹

Step-2: Prime Factorization of 10416

Prime factors of 10416 are 2, 3, 7, 31. Prime factorization of 10416 in exponential form is:

10416 = 2⁴ × 3¹ × 7¹ × 31¹

Step-3: Factors of 10406

List of positive integer factors of 10406 that divides 10406 without a remainder.

1, 2, 11, 22, 43, 86, 121, 242, 473, 946, 5203

Step-4: Factors of 10416

List of positive integer factors of 10416 that divides 10406 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 31, 42, 48, 56, 62, 84, 93, 112, 124, 168, 186, 217, 248, 336, 372, 434, 496, 651, 744, 868, 1302, 1488, 1736, 2604, 3472, 5208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10406 and 10416. The biggest common factor number is the GCF number.
So the greatest common factor 10406 and 10416 is 2.

Also check out the Least Common Multiple of 10406 and 10416