What is the Greatest Common Factor of 71316 and 71330?

Greatest common factor (GCF) of 71316 and 71330 is 14.

GCF(71316,71330) = 14

We will now calculate the prime factors of 71316 and 71330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71316 and 71330.

How to find the GCF of 71316 and 71330?

We will first find the prime factorization of 71316 and 71330. After we will calculate the factors of 71316 and 71330 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 71330

Prime factors of 71330 are 2, 5, 7, 1019. Prime factorization of 71330 in exponential form is:

71330 = 2¹ × 5¹ × 7¹ × 1019¹

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 71330

List of positive integer factors of 71330 that divides 71316 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1019, 2038, 5095, 7133, 10190, 14266, 35665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71316 and 71330. The biggest common factor number is the GCF number.
So the greatest common factor 71316 and 71330 is 14.

Also check out the Least Common Multiple of 71316 and 71330