What is the Greatest Common Factor of 10428 and 10440?

Greatest common factor (GCF) of 10428 and 10440 is 12.

GCF(10428,10440) = 12

We will now calculate the prime factors of 10428 and 10440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10428 and 10440.

How to find the GCF of 10428 and 10440?

We will first find the prime factorization of 10428 and 10440. After we will calculate the factors of 10428 and 10440 and find the biggest common factor number .

Step-1: Prime Factorization of 10428

Prime factors of 10428 are 2, 3, 11, 79. Prime factorization of 10428 in exponential form is:

10428 = 2² × 3¹ × 11¹ × 79¹

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 10428

List of positive integer factors of 10428 that divides 10428 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 79, 132, 158, 237, 316, 474, 869, 948, 1738, 2607, 3476, 5214

Step-4: Factors of 10440

List of positive integer factors of 10440 that divides 10428 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 10428 and 10440. The biggest common factor number is the GCF number.
So the greatest common factor 10428 and 10440 is 12.

Also check out the Least Common Multiple of 10428 and 10440