What is the Greatest Common Factor of 71291 and 71302?

Greatest common factor (GCF) of 71291 and 71302 is 11.

GCF(71291,71302) = 11

We will now calculate the prime factors of 71291 and 71302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71291 and 71302.

How to find the GCF of 71291 and 71302?

We will first find the prime factorization of 71291 and 71302. After we will calculate the factors of 71291 and 71302 and find the biggest common factor number .

Step-1: Prime Factorization of 71291

Prime factors of 71291 are 11, 6481. Prime factorization of 71291 in exponential form is:

71291 = 11¹ × 6481¹

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 71291

List of positive integer factors of 71291 that divides 71291 without a remainder.

1, 11, 6481

Step-4: Factors of 71302

List of positive integer factors of 71302 that divides 71291 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 71291 and 71302. The biggest common factor number is the GCF number.
So the greatest common factor 71291 and 71302 is 11.

Also check out the Least Common Multiple of 71291 and 71302