What is the Greatest Common Factor of 71536 and 71552?

Greatest common factor (GCF) of 71536 and 71552 is 16.

GCF(71536,71552) = 16

We will now calculate the prime factors of 71536 and 71552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71536 and 71552.

How to find the GCF of 71536 and 71552?

We will first find the prime factorization of 71536 and 71552. After we will calculate the factors of 71536 and 71552 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71552

Prime factors of 71552 are 2, 13, 43. Prime factorization of 71552 in exponential form is:

71552 = 2⁷ × 13¹ × 43¹

Step-3: Factors of 71536

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

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

Step-4: Factors of 71552

List of positive integer factors of 71552 that divides 71536 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 43, 52, 64, 86, 104, 128, 172, 208, 344, 416, 559, 688, 832, 1118, 1376, 1664, 2236, 2752, 4472, 5504, 8944, 17888, 35776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71536 and 71552. The biggest common factor number is the GCF number.
So the greatest common factor 71536 and 71552 is 16.

Also check out the Least Common Multiple of 71536 and 71552