What is the Greatest Common Factor of 10474 and 10482?

Greatest common factor (GCF) of 10474 and 10482 is 2.

GCF(10474,10482) = 2

We will now calculate the prime factors of 10474 and 10482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10474 and 10482.

How to find the GCF of 10474 and 10482?

We will first find the prime factorization of 10474 and 10482. After we will calculate the factors of 10474 and 10482 and find the biggest common factor number .

Step-1: Prime Factorization of 10474

Prime factors of 10474 are 2, 5237. Prime factorization of 10474 in exponential form is:

10474 = 2¹ × 5237¹

Step-2: Prime Factorization of 10482

Prime factors of 10482 are 2, 3, 1747. Prime factorization of 10482 in exponential form is:

10482 = 2¹ × 3¹ × 1747¹

Step-3: Factors of 10474

List of positive integer factors of 10474 that divides 10474 without a remainder.

1, 2, 5237

Step-4: Factors of 10482

List of positive integer factors of 10482 that divides 10474 without a remainder.

1, 2, 3, 6, 1747, 3494, 5241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10474 and 10482. The biggest common factor number is the GCF number.
So the greatest common factor 10474 and 10482 is 2.

Also check out the Least Common Multiple of 10474 and 10482