What is the Greatest Common Factor of 71604 and 71614?

Greatest common factor (GCF) of 71604 and 71614 is 2.

GCF(71604,71614) = 2

We will now calculate the prime factors of 71604 and 71614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71604 and 71614.

How to find the GCF of 71604 and 71614?

We will first find the prime factorization of 71604 and 71614. After we will calculate the factors of 71604 and 71614 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 71614

Prime factors of 71614 are 2, 61, 587. Prime factorization of 71614 in exponential form is:

71614 = 2¹ × 61¹ × 587¹

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 71614

List of positive integer factors of 71614 that divides 71604 without a remainder.

1, 2, 61, 122, 587, 1174, 35807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71604 and 71614. The biggest common factor number is the GCF number.
So the greatest common factor 71604 and 71614 is 2.

Also check out the Least Common Multiple of 71604 and 71614