What is the Greatest Common Factor of 36409 and 36420?

Greatest common factor (GCF) of 36409 and 36420 is 1.

GCF(36409,36420) = 1

We will now calculate the prime factors of 36409 and 36420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36409 and 36420.

How to find the GCF of 36409 and 36420?

We will first find the prime factorization of 36409 and 36420. After we will calculate the factors of 36409 and 36420 and find the biggest common factor number .

Step-1: Prime Factorization of 36409

Prime factors of 36409 are 23, 1583. Prime factorization of 36409 in exponential form is:

36409 = 23¹ × 1583¹

Step-2: 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-3: Factors of 36409

List of positive integer factors of 36409 that divides 36409 without a remainder.

1, 23, 1583

Step-4: Factors of 36420

List of positive integer factors of 36420 that divides 36409 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36409 and 36420. The biggest common factor number is the GCF number.
So the greatest common factor 36409 and 36420 is 1.

Also check out the Least Common Multiple of 36409 and 36420