What is the Greatest Common Factor of 71311 and 71331?

Greatest common factor (GCF) of 71311 and 71331 is 1.

GCF(71311,71331) = 1

We will now calculate the prime factors of 71311 and 71331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71311 and 71331.

How to find the GCF of 71311 and 71331?

We will first find the prime factorization of 71311 and 71331. After we will calculate the factors of 71311 and 71331 and find the biggest common factor number .

Step-1: Prime Factorization of 71311

Prime factors of 71311 are 29, 2459. Prime factorization of 71311 in exponential form is:

71311 = 29¹ × 2459¹

Step-2: Prime Factorization of 71331

Prime factors of 71331 are 3, 13, 31, 59. Prime factorization of 71331 in exponential form is:

71331 = 3¹ × 13¹ × 31¹ × 59¹

Step-3: Factors of 71311

List of positive integer factors of 71311 that divides 71311 without a remainder.

1, 29, 2459

Step-4: Factors of 71331

List of positive integer factors of 71331 that divides 71311 without a remainder.

1, 3, 13, 31, 39, 59, 93, 177, 403, 767, 1209, 1829, 2301, 5487, 23777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71311 and 71331. The biggest common factor number is the GCF number.
So the greatest common factor 71311 and 71331 is 1.

Also check out the Least Common Multiple of 71311 and 71331