What is the Greatest Common Factor of 71390 and 71401?

Greatest common factor (GCF) of 71390 and 71401 is 11.

GCF(71390,71401) = 11

We will now calculate the prime factors of 71390 and 71401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71390 and 71401.

How to find the GCF of 71390 and 71401?

We will first find the prime factorization of 71390 and 71401. After we will calculate the factors of 71390 and 71401 and find the biggest common factor number .

Step-1: Prime Factorization of 71390

Prime factors of 71390 are 2, 5, 11, 59. Prime factorization of 71390 in exponential form is:

71390 = 2¹ × 5¹ × 11² × 59¹

Step-2: Prime Factorization of 71401

Prime factors of 71401 are 11, 6491. Prime factorization of 71401 in exponential form is:

71401 = 11¹ × 6491¹

Step-3: Factors of 71390

List of positive integer factors of 71390 that divides 71390 without a remainder.

1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 121, 242, 295, 590, 605, 649, 1210, 1298, 3245, 6490, 7139, 14278, 35695

Step-4: Factors of 71401

List of positive integer factors of 71401 that divides 71390 without a remainder.

1, 11, 6491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71390 and 71401. The biggest common factor number is the GCF number.
So the greatest common factor 71390 and 71401 is 11.

Also check out the Least Common Multiple of 71390 and 71401