What is the Greatest Common Factor of 71604 and 71621?

Greatest common factor (GCF) of 71604 and 71621 is 17.

GCF(71604,71621) = 17

We will now calculate the prime factors of 71604 and 71621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71604 and 71621.

How to find the GCF of 71604 and 71621?

We will first find the prime factorization of 71604 and 71621. After we will calculate the factors of 71604 and 71621 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 71621

Prime factors of 71621 are 11, 17, 383. Prime factorization of 71621 in exponential form is:

71621 = 11¹ × 17¹ × 383¹

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 71621

List of positive integer factors of 71621 that divides 71604 without a remainder.

1, 11, 17, 187, 383, 4213, 6511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71604 and 71621. The biggest common factor number is the GCF number.
So the greatest common factor 71604 and 71621 is 17.

Also check out the Least Common Multiple of 71604 and 71621