What is the Greatest Common Factor of 71604 and 71608?

Greatest common factor (GCF) of 71604 and 71608 is 4.

GCF(71604,71608) = 4

We will now calculate the prime factors of 71604 and 71608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71604 and 71608.

How to find the GCF of 71604 and 71608?

We will first find the prime factorization of 71604 and 71608. After we will calculate the factors of 71604 and 71608 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 71608

Prime factors of 71608 are 2, 8951. Prime factorization of 71608 in exponential form is:

71608 = 2³ × 8951¹

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 71608

List of positive integer factors of 71608 that divides 71604 without a remainder.

1, 2, 4, 8, 8951, 17902, 35804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71604 and 71608. The biggest common factor number is the GCF number.
So the greatest common factor 71604 and 71608 is 4.

Also check out the Least Common Multiple of 71604 and 71608