What is the Greatest Common Factor of 40428 and 40448?

Greatest common factor (GCF) of 40428 and 40448 is 4.

GCF(40428,40448) = 4

We will now calculate the prime factors of 40428 and 40448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40428 and 40448.

How to find the GCF of 40428 and 40448?

We will first find the prime factorization of 40428 and 40448. After we will calculate the factors of 40428 and 40448 and find the biggest common factor number .

Step-1: Prime Factorization of 40428

Prime factors of 40428 are 2, 3, 1123. Prime factorization of 40428 in exponential form is:

40428 = 2² × 3² × 1123¹

Step-2: Prime Factorization of 40448

Prime factors of 40448 are 2, 79. Prime factorization of 40448 in exponential form is:

40448 = 2⁹ × 79¹

Step-3: Factors of 40428

List of positive integer factors of 40428 that divides 40428 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1123, 2246, 3369, 4492, 6738, 10107, 13476, 20214

Step-4: Factors of 40448

List of positive integer factors of 40448 that divides 40428 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 256, 316, 512, 632, 1264, 2528, 5056, 10112, 20224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40428 and 40448. The biggest common factor number is the GCF number.
So the greatest common factor 40428 and 40448 is 4.

Also check out the Least Common Multiple of 40428 and 40448