What is the Greatest Common Factor of 10434 and 10440?

Greatest common factor (GCF) of 10434 and 10440 is 6.

GCF(10434,10440) = 6

We will now calculate the prime factors of 10434 and 10440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10434 and 10440.

How to find the GCF of 10434 and 10440?

We will first find the prime factorization of 10434 and 10440. After we will calculate the factors of 10434 and 10440 and find the biggest common factor number .

Step-1: Prime Factorization of 10434

Prime factors of 10434 are 2, 3, 37, 47. Prime factorization of 10434 in exponential form is:

10434 = 2¹ × 3¹ × 37¹ × 47¹

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 10434

List of positive integer factors of 10434 that divides 10434 without a remainder.

1, 2, 3, 6, 37, 47, 74, 94, 111, 141, 222, 282, 1739, 3478, 5217

Step-4: Factors of 10440

List of positive integer factors of 10440 that divides 10434 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 10434 and 10440. The biggest common factor number is the GCF number.
So the greatest common factor 10434 and 10440 is 6.

Also check out the Least Common Multiple of 10434 and 10440