What is the Greatest Common Factor of 36420 and 36435?

Greatest common factor (GCF) of 36420 and 36435 is 15.

GCF(36420,36435) = 15

We will now calculate the prime factors of 36420 and 36435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36420 and 36435.

How to find the GCF of 36420 and 36435?

We will first find the prime factorization of 36420 and 36435. After we will calculate the factors of 36420 and 36435 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 36435

Prime factors of 36435 are 3, 5, 7, 347. Prime factorization of 36435 in exponential form is:

36435 = 3¹ × 5¹ × 7¹ × 347¹

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 36435

List of positive integer factors of 36435 that divides 36420 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 347, 1041, 1735, 2429, 5205, 7287, 12145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36420 and 36435. The biggest common factor number is the GCF number.
So the greatest common factor 36420 and 36435 is 15.

Also check out the Least Common Multiple of 36420 and 36435