What is the Greatest Common Factor of 71251 and 71271?

Greatest common factor (GCF) of 71251 and 71271 is 1.

GCF(71251,71271) = 1

We will now calculate the prime factors of 71251 and 71271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71251 and 71271.

How to find the GCF of 71251 and 71271?

We will first find the prime factorization of 71251 and 71271. After we will calculate the factors of 71251 and 71271 and find the biggest common factor number .

Step-1: Prime Factorization of 71251

Prime factors of 71251 are 43, 1657. Prime factorization of 71251 in exponential form is:

71251 = 43¹ × 1657¹

Step-2: Prime Factorization of 71271

Prime factors of 71271 are 3, 7919. Prime factorization of 71271 in exponential form is:

71271 = 3² × 7919¹

Step-3: Factors of 71251

List of positive integer factors of 71251 that divides 71251 without a remainder.

1, 43, 1657

Step-4: Factors of 71271

List of positive integer factors of 71271 that divides 71251 without a remainder.

1, 3, 9, 7919, 23757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71251 and 71271. The biggest common factor number is the GCF number.
So the greatest common factor 71251 and 71271 is 1.

Also check out the Least Common Multiple of 71251 and 71271