What is the Greatest Common Factor of 10440 and 10458?

Greatest common factor (GCF) of 10440 and 10458 is 18.

GCF(10440,10458) = 18

We will now calculate the prime factors of 10440 and 10458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10440 and 10458.

How to find the GCF of 10440 and 10458?

We will first find the prime factorization of 10440 and 10458. After we will calculate the factors of 10440 and 10458 and find the biggest common factor number .

Step-1: Prime Factorization of 10440

Prime factors of 10440 are 2, 3, 5, 29. Prime factorization of 10440 in exponential form is:

10440 = 2³ × 3² × 5¹ × 29¹

Step-2: 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-3: Factors of 10440

List of positive integer factors of 10440 that divides 10440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 29, 30, 36, 40, 45, 58, 60, 72, 87, 90, 116, 120, 145, 174, 180, 232, 261, 290, 348, 360, 435, 522, 580, 696, 870, 1044, 1160, 1305, 1740, 2088, 2610, 3480, 5220

Step-4: Factors of 10458

List of positive integer factors of 10458 that divides 10440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10440 and 10458. The biggest common factor number is the GCF number.
So the greatest common factor 10440 and 10458 is 18.

Also check out the Least Common Multiple of 10440 and 10458