What is the Greatest Common Factor of 36428 and 36440?

Greatest common factor (GCF) of 36428 and 36440 is 4.

GCF(36428,36440) = 4

We will now calculate the prime factors of 36428 and 36440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36428 and 36440.

How to find the GCF of 36428 and 36440?

We will first find the prime factorization of 36428 and 36440. After we will calculate the factors of 36428 and 36440 and find the biggest common factor number .

Step-1: Prime Factorization of 36428

Prime factors of 36428 are 2, 7, 1301. Prime factorization of 36428 in exponential form is:

36428 = 2² × 7¹ × 1301¹

Step-2: Prime Factorization of 36440

Prime factors of 36440 are 2, 5, 911. Prime factorization of 36440 in exponential form is:

36440 = 2³ × 5¹ × 911¹

Step-3: Factors of 36428

List of positive integer factors of 36428 that divides 36428 without a remainder.

1, 2, 4, 7, 14, 28, 1301, 2602, 5204, 9107, 18214

Step-4: Factors of 36440

List of positive integer factors of 36440 that divides 36428 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 911, 1822, 3644, 4555, 7288, 9110, 18220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36428 and 36440. The biggest common factor number is the GCF number.
So the greatest common factor 36428 and 36440 is 4.

Also check out the Least Common Multiple of 36428 and 36440