What is the Greatest Common Factor of 71520 and 71536?

Greatest common factor (GCF) of 71520 and 71536 is 16.

GCF(71520,71536) = 16

We will now calculate the prime factors of 71520 and 71536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71520 and 71536.

How to find the GCF of 71520 and 71536?

We will first find the prime factorization of 71520 and 71536. After we will calculate the factors of 71520 and 71536 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71536

Prime factors of 71536 are 2, 17, 263. Prime factorization of 71536 in exponential form is:

71536 = 2⁴ × 17¹ × 263¹

Step-3: Factors of 71520

List of positive integer factors of 71520 that divides 71520 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

Step-4: Factors of 71536

List of positive integer factors of 71536 that divides 71520 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 263, 272, 526, 1052, 2104, 4208, 4471, 8942, 17884, 35768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71520 and 71536. The biggest common factor number is the GCF number.
So the greatest common factor 71520 and 71536 is 16.

Also check out the Least Common Multiple of 71520 and 71536