What is the Greatest Common Factor of 71298 and 71306?

Greatest common factor (GCF) of 71298 and 71306 is 2.

GCF(71298,71306) = 2

We will now calculate the prime factors of 71298 and 71306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71298 and 71306.

How to find the GCF of 71298 and 71306?

We will first find the prime factorization of 71298 and 71306. After we will calculate the factors of 71298 and 71306 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 71306

Prime factors of 71306 are 2, 101, 353. Prime factorization of 71306 in exponential form is:

71306 = 2¹ × 101¹ × 353¹

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 71306

List of positive integer factors of 71306 that divides 71298 without a remainder.

1, 2, 101, 202, 353, 706, 35653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71298 and 71306. The biggest common factor number is the GCF number.
So the greatest common factor 71298 and 71306 is 2.

Also check out the Least Common Multiple of 71298 and 71306