What is the Greatest Common Factor of 71298 and 71314?

Greatest common factor (GCF) of 71298 and 71314 is 2.

GCF(71298,71314) = 2

We will now calculate the prime factors of 71298 and 71314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71298 and 71314.

How to find the GCF of 71298 and 71314?

We will first find the prime factorization of 71298 and 71314. After we will calculate the factors of 71298 and 71314 and find the biggest common factor number .

Step-1: Prime Factorization of 71298

Prime factors of 71298 are 2, 3, 17, 233. Prime factorization of 71298 in exponential form is:

71298 = 2¹ × 3² × 17¹ × 233¹

Step-2: 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-3: Factors of 71298

List of positive integer factors of 71298 that divides 71298 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 233, 306, 466, 699, 1398, 2097, 3961, 4194, 7922, 11883, 23766, 35649

Step-4: Factors of 71314

List of positive integer factors of 71314 that divides 71298 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71298 and 71314. The biggest common factor number is the GCF number.
So the greatest common factor 71298 and 71314 is 2.

Also check out the Least Common Multiple of 71298 and 71314