What is the Greatest Common Factor of 10436 and 10440?

Greatest common factor (GCF) of 10436 and 10440 is 4.

GCF(10436,10440) = 4

We will now calculate the prime factors of 10436 and 10440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10436 and 10440.

How to find the GCF of 10436 and 10440?

We will first find the prime factorization of 10436 and 10440. After we will calculate the factors of 10436 and 10440 and find the biggest common factor number .

Step-1: Prime Factorization of 10436

Prime factors of 10436 are 2, 2609. Prime factorization of 10436 in exponential form is:

10436 = 2² × 2609¹

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 10436

List of positive integer factors of 10436 that divides 10436 without a remainder.

1, 2, 4, 2609, 5218

Step-4: Factors of 10440

List of positive integer factors of 10440 that divides 10436 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 10436 and 10440. The biggest common factor number is the GCF number.
So the greatest common factor 10436 and 10440 is 4.

Also check out the Least Common Multiple of 10436 and 10440