What is the Greatest Common Factor of 71627 and 71641?

Greatest common factor (GCF) of 71627 and 71641 is 1.

GCF(71627,71641) = 1

We will now calculate the prime factors of 71627 and 71641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71627 and 71641.

How to find the GCF of 71627 and 71641?

We will first find the prime factorization of 71627 and 71641. After we will calculate the factors of 71627 and 71641 and find the biggest common factor number .

Step-1: Prime Factorization of 71627

Prime factors of 71627 are 41, 1747. Prime factorization of 71627 in exponential form is:

71627 = 41¹ × 1747¹

Step-2: Prime Factorization of 71641

Prime factors of 71641 are 31, 2311. Prime factorization of 71641 in exponential form is:

71641 = 31¹ × 2311¹

Step-3: Factors of 71627

List of positive integer factors of 71627 that divides 71627 without a remainder.

1, 41, 1747

Step-4: Factors of 71641

List of positive integer factors of 71641 that divides 71627 without a remainder.

1, 31, 2311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71627 and 71641. The biggest common factor number is the GCF number.
So the greatest common factor 71627 and 71641 is 1.

Also check out the Least Common Multiple of 71627 and 71641