What is the Greatest Common Factor of 3610 and 3629?

Greatest common factor (GCF) of 3610 and 3629 is 19.

GCF(3610,3629) = 19

We will now calculate the prime factors of 3610 and 3629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3610 and 3629.

How to find the GCF of 3610 and 3629?

We will first find the prime factorization of 3610 and 3629. After we will calculate the factors of 3610 and 3629 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3629

Prime factors of 3629 are 19, 191. Prime factorization of 3629 in exponential form is:

3629 = 19¹ × 191¹

Step-3: Factors of 3610

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

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

Step-4: Factors of 3629

List of positive integer factors of 3629 that divides 3610 without a remainder.

1, 19, 191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3610 and 3629. The biggest common factor number is the GCF number.
So the greatest common factor 3610 and 3629 is 19.

Also check out the Least Common Multiple of 3610 and 3629