What is the Greatest Common Factor of 71504 and 71520?

Greatest common factor (GCF) of 71504 and 71520 is 16.

GCF(71504,71520) = 16

We will now calculate the prime factors of 71504 and 71520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71504 and 71520.

How to find the GCF of 71504 and 71520?

We will first find the prime factorization of 71504 and 71520. After we will calculate the factors of 71504 and 71520 and find the biggest common factor number .

Step-1: Prime Factorization of 71504

Prime factors of 71504 are 2, 41, 109. Prime factorization of 71504 in exponential form is:

71504 = 2⁴ × 41¹ × 109¹

Step-2: Prime Factorization of 71520

Prime factors of 71520 are 2, 3, 5, 149. Prime factorization of 71520 in exponential form is:

71520 = 2⁵ × 3¹ × 5¹ × 149¹

Step-3: Factors of 71504

List of positive integer factors of 71504 that divides 71504 without a remainder.

1, 2, 4, 8, 16, 41, 82, 109, 164, 218, 328, 436, 656, 872, 1744, 4469, 8938, 17876, 35752

Step-4: Factors of 71520

List of positive integer factors of 71520 that divides 71504 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 149, 160, 240, 298, 447, 480, 596, 745, 894, 1192, 1490, 1788, 2235, 2384, 2980, 3576, 4470, 4768, 5960, 7152, 8940, 11920, 14304, 17880, 23840, 35760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71504 and 71520. The biggest common factor number is the GCF number.
So the greatest common factor 71504 and 71520 is 16.

Also check out the Least Common Multiple of 71504 and 71520