What is the Greatest Common Factor of 71312 and 71316?

Greatest common factor (GCF) of 71312 and 71316 is 4.

GCF(71312,71316) = 4

We will now calculate the prime factors of 71312 and 71316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71312 and 71316.

How to find the GCF of 71312 and 71316?

We will first find the prime factorization of 71312 and 71316. After we will calculate the factors of 71312 and 71316 and find the biggest common factor number .

Step-1: Prime Factorization of 71312

Prime factors of 71312 are 2, 4457. Prime factorization of 71312 in exponential form is:

71312 = 2⁴ × 4457¹

Step-2: 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-3: Factors of 71312

List of positive integer factors of 71312 that divides 71312 without a remainder.

1, 2, 4, 8, 16, 4457, 8914, 17828, 35656

Step-4: Factors of 71316

List of positive integer factors of 71316 that divides 71312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71312 and 71316. The biggest common factor number is the GCF number.
So the greatest common factor 71312 and 71316 is 4.

Also check out the Least Common Multiple of 71312 and 71316