What is the Greatest Common Factor of 71604 and 71610?

Greatest common factor (GCF) of 71604 and 71610 is 6.

GCF(71604,71610) = 6

We will now calculate the prime factors of 71604 and 71610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71604 and 71610.

How to find the GCF of 71604 and 71610?

We will first find the prime factorization of 71604 and 71610. After we will calculate the factors of 71604 and 71610 and find the biggest common factor number .

Step-1: Prime Factorization of 71604

Prime factors of 71604 are 2, 3, 13, 17. Prime factorization of 71604 in exponential form is:

71604 = 2² × 3⁴ × 13¹ × 17¹

Step-2: Prime Factorization of 71610

Prime factors of 71610 are 2, 3, 5, 7, 11, 31. Prime factorization of 71610 in exponential form is:

71610 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 31¹

Step-3: Factors of 71604

List of positive integer factors of 71604 that divides 71604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 27, 34, 36, 39, 51, 52, 54, 68, 78, 81, 102, 108, 117, 153, 156, 162, 204, 221, 234, 306, 324, 351, 442, 459, 468, 612, 663, 702, 884, 918, 1053, 1326, 1377, 1404, 1836, 1989, 2106, 2652, 2754, 3978, 4212, 5508, 5967, 7956, 11934, 17901, 23868, 35802

Step-4: Factors of 71610

List of positive integer factors of 71610 that divides 71604 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 31, 33, 35, 42, 55, 62, 66, 70, 77, 93, 105, 110, 154, 155, 165, 186, 210, 217, 231, 310, 330, 341, 385, 434, 462, 465, 651, 682, 770, 930, 1023, 1085, 1155, 1302, 1705, 2046, 2170, 2310, 2387, 3255, 3410, 4774, 5115, 6510, 7161, 10230, 11935, 14322, 23870, 35805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71604 and 71610. The biggest common factor number is the GCF number.
So the greatest common factor 71604 and 71610 is 6.

Also check out the Least Common Multiple of 71604 and 71610