What is the Greatest Common Factor of 71309 and 71316?

Greatest common factor (GCF) of 71309 and 71316 is 7.

GCF(71309,71316) = 7

We will now calculate the prime factors of 71309 and 71316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71309 and 71316.

How to find the GCF of 71309 and 71316?

We will first find the prime factorization of 71309 and 71316. After we will calculate the factors of 71309 and 71316 and find the biggest common factor number .

Step-1: Prime Factorization of 71309

Prime factors of 71309 are 7, 61, 167. Prime factorization of 71309 in exponential form is:

71309 = 7¹ × 61¹ × 167¹

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 71309

List of positive integer factors of 71309 that divides 71309 without a remainder.

1, 7, 61, 167, 427, 1169, 10187

Step-4: Factors of 71316

List of positive integer factors of 71316 that divides 71309 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 71309 and 71316. The biggest common factor number is the GCF number.
So the greatest common factor 71309 and 71316 is 7.

Also check out the Least Common Multiple of 71309 and 71316