What is the Greatest Common Factor of 71302 and 71314?

Greatest common factor (GCF) of 71302 and 71314 is 2.

GCF(71302,71314) = 2

We will now calculate the prime factors of 71302 and 71314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71302 and 71314.

How to find the GCF of 71302 and 71314?

We will first find the prime factorization of 71302 and 71314. After we will calculate the factors of 71302 and 71314 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71314

Prime factors of 71314 are 2, 181, 197. Prime factorization of 71314 in exponential form is:

71314 = 2¹ × 181¹ × 197¹

Step-3: Factors of 71302

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

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

Step-4: Factors of 71314

List of positive integer factors of 71314 that divides 71302 without a remainder.

1, 2, 181, 197, 362, 394, 35657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71302 and 71314. The biggest common factor number is the GCF number.
So the greatest common factor 71302 and 71314 is 2.

Also check out the Least Common Multiple of 71302 and 71314