What is the Greatest Common Factor of 71298 and 71307?

Greatest common factor (GCF) of 71298 and 71307 is 9.

GCF(71298,71307) = 9

We will now calculate the prime factors of 71298 and 71307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71298 and 71307.

How to find the GCF of 71298 and 71307?

We will first find the prime factorization of 71298 and 71307. After we will calculate the factors of 71298 and 71307 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 71307

Prime factors of 71307 are 3, 19, 139. Prime factorization of 71307 in exponential form is:

71307 = 3³ × 19¹ × 139¹

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 71307

List of positive integer factors of 71307 that divides 71298 without a remainder.

1, 3, 9, 19, 27, 57, 139, 171, 417, 513, 1251, 2641, 3753, 7923, 23769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71298 and 71307. The biggest common factor number is the GCF number.
So the greatest common factor 71298 and 71307 is 9.

Also check out the Least Common Multiple of 71298 and 71307