What is the Greatest Common Factor of 40428 and 40436?

Greatest common factor (GCF) of 40428 and 40436 is 4.

GCF(40428,40436) = 4

We will now calculate the prime factors of 40428 and 40436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40428 and 40436.

How to find the GCF of 40428 and 40436?

We will first find the prime factorization of 40428 and 40436. After we will calculate the factors of 40428 and 40436 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 40436

Prime factors of 40436 are 2, 11, 919. Prime factorization of 40436 in exponential form is:

40436 = 2² × 11¹ × 919¹

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 40436

List of positive integer factors of 40436 that divides 40428 without a remainder.

1, 2, 4, 11, 22, 44, 919, 1838, 3676, 10109, 20218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40428 and 40436. The biggest common factor number is the GCF number.
So the greatest common factor 40428 and 40436 is 4.

Also check out the Least Common Multiple of 40428 and 40436