What is the Greatest Common Factor of 71519 and 71536?

Greatest common factor (GCF) of 71519 and 71536 is 17.

GCF(71519,71536) = 17

We will now calculate the prime factors of 71519 and 71536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71519 and 71536.

How to find the GCF of 71519 and 71536?

We will first find the prime factorization of 71519 and 71536. After we will calculate the factors of 71519 and 71536 and find the biggest common factor number .

Step-1: Prime Factorization of 71519

Prime factors of 71519 are 7, 17, 601. Prime factorization of 71519 in exponential form is:

71519 = 7¹ × 17¹ × 601¹

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 71519

List of positive integer factors of 71519 that divides 71519 without a remainder.

1, 7, 17, 119, 601, 4207, 10217

Step-4: Factors of 71536

List of positive integer factors of 71536 that divides 71519 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 71519 and 71536. The biggest common factor number is the GCF number.
So the greatest common factor 71519 and 71536 is 17.

Also check out the Least Common Multiple of 71519 and 71536