What is the Greatest Common Factor of 61604 and 61614?

Greatest common factor (GCF) of 61604 and 61614 is 2.

GCF(61604,61614) = 2

We will now calculate the prime factors of 61604 and 61614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61604 and 61614.

How to find the GCF of 61604 and 61614?

We will first find the prime factorization of 61604 and 61614. After we will calculate the factors of 61604 and 61614 and find the biggest common factor number .

Step-1: Prime Factorization of 61604

Prime factors of 61604 are 2, 15401. Prime factorization of 61604 in exponential form is:

61604 = 2² × 15401¹

Step-2: Prime Factorization of 61614

Prime factors of 61614 are 2, 3, 7, 163. Prime factorization of 61614 in exponential form is:

61614 = 2¹ × 3³ × 7¹ × 163¹

Step-3: Factors of 61604

List of positive integer factors of 61604 that divides 61604 without a remainder.

1, 2, 4, 15401, 30802

Step-4: Factors of 61614

List of positive integer factors of 61614 that divides 61604 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 163, 189, 326, 378, 489, 978, 1141, 1467, 2282, 2934, 3423, 4401, 6846, 8802, 10269, 20538, 30807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61604 and 61614. The biggest common factor number is the GCF number.
So the greatest common factor 61604 and 61614 is 2.

Also check out the Least Common Multiple of 61604 and 61614