What is the Greatest Common Factor of 71289 and 71302?

Greatest common factor (GCF) of 71289 and 71302 is 1.

GCF(71289,71302) = 1

We will now calculate the prime factors of 71289 and 71302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71289 and 71302.

How to find the GCF of 71289 and 71302?

We will first find the prime factorization of 71289 and 71302. After we will calculate the factors of 71289 and 71302 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 71302

Prime factors of 71302 are 2, 7, 11, 463. Prime factorization of 71302 in exponential form is:

71302 = 2¹ × 7¹ × 11¹ × 463¹

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 71302

List of positive integer factors of 71302 that divides 71289 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 463, 926, 3241, 5093, 6482, 10186, 35651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71289 and 71302. The biggest common factor number is the GCF number.
So the greatest common factor 71289 and 71302 is 1.

Also check out the Least Common Multiple of 71289 and 71302