What is the Greatest Common Factor of 36420 and 36440?

Greatest common factor (GCF) of 36420 and 36440 is 20.

GCF(36420,36440) = 20

We will now calculate the prime factors of 36420 and 36440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36420 and 36440.

How to find the GCF of 36420 and 36440?

We will first find the prime factorization of 36420 and 36440. After we will calculate the factors of 36420 and 36440 and find the biggest common factor number .

Step-1: Prime Factorization of 36420

Prime factors of 36420 are 2, 3, 5, 607. Prime factorization of 36420 in exponential form is:

36420 = 2² × 3¹ × 5¹ × 607¹

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 36420

List of positive integer factors of 36420 that divides 36420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 607, 1214, 1821, 2428, 3035, 3642, 6070, 7284, 9105, 12140, 18210

Step-4: Factors of 36440

List of positive integer factors of 36440 that divides 36420 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 36420 and 36440. The biggest common factor number is the GCF number.
So the greatest common factor 36420 and 36440 is 20.

Also check out the Least Common Multiple of 36420 and 36440