What is the Greatest Common Factor of 3600 and 3610?

Greatest common factor (GCF) of 3600 and 3610 is 10.

GCF(3600,3610) = 10

We will now calculate the prime factors of 3600 and 3610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3600 and 3610.

How to find the GCF of 3600 and 3610?

We will first find the prime factorization of 3600 and 3610. After we will calculate the factors of 3600 and 3610 and find the biggest common factor number .

Step-1: Prime Factorization of 3600

Prime factors of 3600 are 2, 3, 5. Prime factorization of 3600 in exponential form is:

3600 = 2⁴ × 3² × 5²

Step-2: Prime Factorization of 3610

Prime factors of 3610 are 2, 5, 19. Prime factorization of 3610 in exponential form is:

3610 = 2¹ × 5¹ × 19²

Step-3: Factors of 3600

List of positive integer factors of 3600 that divides 3600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800

Step-4: Factors of 3610

List of positive integer factors of 3610 that divides 3600 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3600 and 3610. The biggest common factor number is the GCF number.
So the greatest common factor 3600 and 3610 is 10.

Also check out the Least Common Multiple of 3600 and 3610