What is the Greatest Common Factor of 71316 and 71333?

Greatest common factor (GCF) of 71316 and 71333 is 1.

GCF(71316,71333) = 1

We will now calculate the prime factors of 71316 and 71333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71316 and 71333.

How to find the GCF of 71316 and 71333?

We will first find the prime factorization of 71316 and 71333. After we will calculate the factors of 71316 and 71333 and find the biggest common factor number .

Step-1: Prime Factorization of 71316

Prime factors of 71316 are 2, 3, 7, 283. Prime factorization of 71316 in exponential form is:

71316 = 2² × 3² × 7¹ × 283¹

Step-2: Prime Factorization of 71333

Prime factors of 71333 are 71333. Prime factorization of 71333 in exponential form is:

71333 = 71333¹

Step-3: Factors of 71316

List of positive integer factors of 71316 that divides 71316 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 283, 566, 849, 1132, 1698, 1981, 2547, 3396, 3962, 5094, 5943, 7924, 10188, 11886, 17829, 23772, 35658

Step-4: Factors of 71333

List of positive integer factors of 71333 that divides 71316 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71316 and 71333. The biggest common factor number is the GCF number.
So the greatest common factor 71316 and 71333 is 1.

Also check out the Least Common Multiple of 71316 and 71333