What is the Greatest Common Factor of 3605 and 3619?

Greatest common factor (GCF) of 3605 and 3619 is 7.

GCF(3605,3619) = 7

We will now calculate the prime factors of 3605 and 3619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3605 and 3619.

How to find the GCF of 3605 and 3619?

We will first find the prime factorization of 3605 and 3619. After we will calculate the factors of 3605 and 3619 and find the biggest common factor number .

Step-1: Prime Factorization of 3605

Prime factors of 3605 are 5, 7, 103. Prime factorization of 3605 in exponential form is:

3605 = 5¹ × 7¹ × 103¹

Step-2: Prime Factorization of 3619

Prime factors of 3619 are 7, 11, 47. Prime factorization of 3619 in exponential form is:

3619 = 7¹ × 11¹ × 47¹

Step-3: Factors of 3605

List of positive integer factors of 3605 that divides 3605 without a remainder.

1, 5, 7, 35, 103, 515, 721

Step-4: Factors of 3619

List of positive integer factors of 3619 that divides 3605 without a remainder.

1, 7, 11, 47, 77, 329, 517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3605 and 3619. The biggest common factor number is the GCF number.
So the greatest common factor 3605 and 3619 is 7.

Also check out the Least Common Multiple of 3605 and 3619