What is the Greatest Common Factor of 71302 and 71313?

Greatest common factor (GCF) of 71302 and 71313 is 11.

GCF(71302,71313) = 11

We will now calculate the prime factors of 71302 and 71313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71302 and 71313.

How to find the GCF of 71302 and 71313?

We will first find the prime factorization of 71302 and 71313. After we will calculate the factors of 71302 and 71313 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 71313

Prime factors of 71313 are 3, 11, 2161. Prime factorization of 71313 in exponential form is:

71313 = 3¹ × 11¹ × 2161¹

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 71313

List of positive integer factors of 71313 that divides 71302 without a remainder.

1, 3, 11, 33, 2161, 6483, 23771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71302 and 71313. The biggest common factor number is the GCF number.
So the greatest common factor 71302 and 71313 is 11.

Also check out the Least Common Multiple of 71302 and 71313