What is the Greatest Common Factor of 71314 and 71330?

Greatest common factor (GCF) of 71314 and 71330 is 2.

GCF(71314,71330) = 2

We will now calculate the prime factors of 71314 and 71330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71314 and 71330.

How to find the GCF of 71314 and 71330?

We will first find the prime factorization of 71314 and 71330. After we will calculate the factors of 71314 and 71330 and find the biggest common factor number .

Step-1: Prime Factorization of 71314

Prime factors of 71314 are 2, 181, 197. Prime factorization of 71314 in exponential form is:

71314 = 2¹ × 181¹ × 197¹

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 71314

List of positive integer factors of 71314 that divides 71314 without a remainder.

1, 2, 181, 197, 362, 394, 35657

Step-4: Factors of 71330

List of positive integer factors of 71330 that divides 71314 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 71314 and 71330. The biggest common factor number is the GCF number.
So the greatest common factor 71314 and 71330 is 2.

Also check out the Least Common Multiple of 71314 and 71330