What is the Greatest Common Factor of 71114 and 71131?

Greatest common factor (GCF) of 71114 and 71131 is 1.

GCF(71114,71131) = 1

We will now calculate the prime factors of 71114 and 71131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71114 and 71131.

How to find the GCF of 71114 and 71131?

We will first find the prime factorization of 71114 and 71131. After we will calculate the factors of 71114 and 71131 and find the biggest common factor number .

Step-1: Prime Factorization of 71114

Prime factors of 71114 are 2, 31, 37. Prime factorization of 71114 in exponential form is:

71114 = 2¹ × 31² × 37¹

Step-2: Prime Factorization of 71131

Prime factors of 71131 are 83, 857. Prime factorization of 71131 in exponential form is:

71131 = 83¹ × 857¹

Step-3: Factors of 71114

List of positive integer factors of 71114 that divides 71114 without a remainder.

1, 2, 31, 37, 62, 74, 961, 1147, 1922, 2294, 35557

Step-4: Factors of 71131

List of positive integer factors of 71131 that divides 71114 without a remainder.

1, 83, 857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71114 and 71131. The biggest common factor number is the GCF number.
So the greatest common factor 71114 and 71131 is 1.

Also check out the Least Common Multiple of 71114 and 71131