What is the Greatest Common Factor of 3604 and 3614?

Greatest common factor (GCF) of 3604 and 3614 is 2.

GCF(3604,3614) = 2

We will now calculate the prime factors of 3604 and 3614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3604 and 3614.

How to find the GCF of 3604 and 3614?

We will first find the prime factorization of 3604 and 3614. After we will calculate the factors of 3604 and 3614 and find the biggest common factor number .

Step-1: Prime Factorization of 3604

Prime factors of 3604 are 2, 17, 53. Prime factorization of 3604 in exponential form is:

3604 = 2² × 17¹ × 53¹

Step-2: Prime Factorization of 3614

Prime factors of 3614 are 2, 13, 139. Prime factorization of 3614 in exponential form is:

3614 = 2¹ × 13¹ × 139¹

Step-3: Factors of 3604

List of positive integer factors of 3604 that divides 3604 without a remainder.

1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802

Step-4: Factors of 3614

List of positive integer factors of 3614 that divides 3604 without a remainder.

1, 2, 13, 26, 139, 278, 1807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3604 and 3614. The biggest common factor number is the GCF number.
So the greatest common factor 3604 and 3614 is 2.

Also check out the Least Common Multiple of 3604 and 3614