What is the Greatest Common Factor of 3605 and 3612?

Greatest common factor (GCF) of 3605 and 3612 is 7.

GCF(3605,3612) = 7

We will now calculate the prime factors of 3605 and 3612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3605 and 3612.

How to find the GCF of 3605 and 3612?

We will first find the prime factorization of 3605 and 3612. After we will calculate the factors of 3605 and 3612 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 3612

Prime factors of 3612 are 2, 3, 7, 43. Prime factorization of 3612 in exponential form is:

3612 = 2² × 3¹ × 7¹ × 43¹

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 3612

List of positive integer factors of 3612 that divides 3605 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3605 and 3612. The biggest common factor number is the GCF number.
So the greatest common factor 3605 and 3612 is 7.

Also check out the Least Common Multiple of 3605 and 3612