What is the Greatest Common Factor of 71536 and 71553?

Greatest common factor (GCF) of 71536 and 71553 is 17.

GCF(71536,71553) = 17

We will now calculate the prime factors of 71536 and 71553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71536 and 71553.

How to find the GCF of 71536 and 71553?

We will first find the prime factorization of 71536 and 71553. After we will calculate the factors of 71536 and 71553 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 71553

Prime factors of 71553 are 3, 17, 23, 61. Prime factorization of 71553 in exponential form is:

71553 = 3¹ × 17¹ × 23¹ × 61¹

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 71553

List of positive integer factors of 71553 that divides 71536 without a remainder.

1, 3, 17, 23, 51, 61, 69, 183, 391, 1037, 1173, 1403, 3111, 4209, 23851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71536 and 71553. The biggest common factor number is the GCF number.
So the greatest common factor 71536 and 71553 is 17.

Also check out the Least Common Multiple of 71536 and 71553