What is the Greatest Common Factor of 10430 and 10440?

Greatest common factor (GCF) of 10430 and 10440 is 10.

GCF(10430,10440) = 10

We will now calculate the prime factors of 10430 and 10440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10430 and 10440.

How to find the GCF of 10430 and 10440?

We will first find the prime factorization of 10430 and 10440. After we will calculate the factors of 10430 and 10440 and find the biggest common factor number .

Step-1: Prime Factorization of 10430

Prime factors of 10430 are 2, 5, 7, 149. Prime factorization of 10430 in exponential form is:

10430 = 2¹ × 5¹ × 7¹ × 149¹

Step-2: 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-3: Factors of 10430

List of positive integer factors of 10430 that divides 10430 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 149, 298, 745, 1043, 1490, 2086, 5215

Step-4: Factors of 10440

List of positive integer factors of 10440 that divides 10430 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10430 and 10440. The biggest common factor number is the GCF number.
So the greatest common factor 10430 and 10440 is 10.

Also check out the Least Common Multiple of 10430 and 10440