What is the Greatest Common Factor of 61596 and 61614?

Greatest common factor (GCF) of 61596 and 61614 is 18.

GCF(61596,61614) = 18

We will now calculate the prime factors of 61596 and 61614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61596 and 61614.

How to find the GCF of 61596 and 61614?

We will first find the prime factorization of 61596 and 61614. After we will calculate the factors of 61596 and 61614 and find the biggest common factor number .

Step-1: Prime Factorization of 61596

Prime factors of 61596 are 2, 3, 29, 59. Prime factorization of 61596 in exponential form is:

61596 = 2² × 3² × 29¹ × 59¹

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 61596

List of positive integer factors of 61596 that divides 61596 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 59, 87, 116, 118, 174, 177, 236, 261, 348, 354, 522, 531, 708, 1044, 1062, 1711, 2124, 3422, 5133, 6844, 10266, 15399, 20532, 30798

Step-4: Factors of 61614

List of positive integer factors of 61614 that divides 61596 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 61596 and 61614. The biggest common factor number is the GCF number.
So the greatest common factor 61596 and 61614 is 18.

Also check out the Least Common Multiple of 61596 and 61614