What is the Greatest Common Factor of 36420 and 36436?

Greatest common factor (GCF) of 36420 and 36436 is 4.

GCF(36420,36436) = 4

We will now calculate the prime factors of 36420 and 36436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36420 and 36436.

How to find the GCF of 36420 and 36436?

We will first find the prime factorization of 36420 and 36436. After we will calculate the factors of 36420 and 36436 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 36436

Prime factors of 36436 are 2, 9109. Prime factorization of 36436 in exponential form is:

36436 = 2² × 9109¹

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 36436

List of positive integer factors of 36436 that divides 36420 without a remainder.

1, 2, 4, 9109, 18218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36420 and 36436. The biggest common factor number is the GCF number.
So the greatest common factor 36420 and 36436 is 4.

Also check out the Least Common Multiple of 36420 and 36436