What is the Greatest Common Factor of 71289 and 71298?

Greatest common factor (GCF) of 71289 and 71298 is 9.

GCF(71289,71298) = 9

We will now calculate the prime factors of 71289 and 71298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71289 and 71298.

How to find the GCF of 71289 and 71298?

We will first find the prime factorization of 71289 and 71298. After we will calculate the factors of 71289 and 71298 and find the biggest common factor number .

Step-1: Prime Factorization of 71289

Prime factors of 71289 are 3, 89. Prime factorization of 71289 in exponential form is:

71289 = 3² × 89²

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 71289

List of positive integer factors of 71289 that divides 71289 without a remainder.

1, 3, 9, 89, 267, 801, 7921, 23763

Step-4: Factors of 71298

List of positive integer factors of 71298 that divides 71289 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 71289 and 71298. The biggest common factor number is the GCF number.
So the greatest common factor 71289 and 71298 is 9.

Also check out the Least Common Multiple of 71289 and 71298