What is the Greatest Common Factor of 10458 and 10478?

Greatest common factor (GCF) of 10458 and 10478 is 2.

GCF(10458,10478) = 2

We will now calculate the prime factors of 10458 and 10478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10458 and 10478.

How to find the GCF of 10458 and 10478?

We will first find the prime factorization of 10458 and 10478. After we will calculate the factors of 10458 and 10478 and find the biggest common factor number .

Step-1: Prime Factorization of 10458

Prime factors of 10458 are 2, 3, 7, 83. Prime factorization of 10458 in exponential form is:

10458 = 2¹ × 3² × 7¹ × 83¹

Step-2: Prime Factorization of 10478

Prime factors of 10478 are 2, 13, 31. Prime factorization of 10478 in exponential form is:

10478 = 2¹ × 13² × 31¹

Step-3: Factors of 10458

List of positive integer factors of 10458 that divides 10458 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 83, 126, 166, 249, 498, 581, 747, 1162, 1494, 1743, 3486, 5229

Step-4: Factors of 10478

List of positive integer factors of 10478 that divides 10458 without a remainder.

1, 2, 13, 26, 31, 62, 169, 338, 403, 806, 5239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10458 and 10478. The biggest common factor number is the GCF number.
So the greatest common factor 10458 and 10478 is 2.

Also check out the Least Common Multiple of 10458 and 10478