What is the Greatest Common Factor of 71604 and 71622?

Greatest common factor (GCF) of 71604 and 71622 is 18.

GCF(71604,71622) = 18

We will now calculate the prime factors of 71604 and 71622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71604 and 71622.

How to find the GCF of 71604 and 71622?

We will first find the prime factorization of 71604 and 71622. After we will calculate the factors of 71604 and 71622 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 71622

Prime factors of 71622 are 2, 3, 23, 173. Prime factorization of 71622 in exponential form is:

71622 = 2¹ × 3² × 23¹ × 173¹

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 71622

List of positive integer factors of 71622 that divides 71604 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 173, 207, 346, 414, 519, 1038, 1557, 3114, 3979, 7958, 11937, 23874, 35811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71604 and 71622. The biggest common factor number is the GCF number.
So the greatest common factor 71604 and 71622 is 18.

Also check out the Least Common Multiple of 71604 and 71622