What is the Greatest Common Factor of 71286 and 71298?

Greatest common factor (GCF) of 71286 and 71298 is 6.

GCF(71286,71298) = 6

We will now calculate the prime factors of 71286 and 71298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71286 and 71298.

How to find the GCF of 71286 and 71298?

We will first find the prime factorization of 71286 and 71298. After we will calculate the factors of 71286 and 71298 and find the biggest common factor number .

Step-1: Prime Factorization of 71286

Prime factors of 71286 are 2, 3, 109. Prime factorization of 71286 in exponential form is:

71286 = 2¹ × 3¹ × 109²

Step-2: 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-3: Factors of 71286

List of positive integer factors of 71286 that divides 71286 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654, 11881, 23762, 35643

Step-4: Factors of 71298

List of positive integer factors of 71298 that divides 71286 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71286 and 71298. The biggest common factor number is the GCF number.
So the greatest common factor 71286 and 71298 is 6.

Also check out the Least Common Multiple of 71286 and 71298