What is the Greatest Common Factor of 71665 and 71681?

Greatest common factor (GCF) of 71665 and 71681 is 1.

GCF(71665,71681) = 1

We will now calculate the prime factors of 71665 and 71681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71665 and 71681.

How to find the GCF of 71665 and 71681?

We will first find the prime factorization of 71665 and 71681. After we will calculate the factors of 71665 and 71681 and find the biggest common factor number .

Step-1: Prime Factorization of 71665

Prime factors of 71665 are 5, 11, 1303. Prime factorization of 71665 in exponential form is:

71665 = 5¹ × 11¹ × 1303¹

Step-2: Prime Factorization of 71681

Prime factors of 71681 are 43, 1667. Prime factorization of 71681 in exponential form is:

71681 = 43¹ × 1667¹

Step-3: Factors of 71665

List of positive integer factors of 71665 that divides 71665 without a remainder.

1, 5, 11, 55, 1303, 6515, 14333

Step-4: Factors of 71681

List of positive integer factors of 71681 that divides 71665 without a remainder.

1, 43, 1667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71665 and 71681. The biggest common factor number is the GCF number.
So the greatest common factor 71665 and 71681 is 1.

Also check out the Least Common Multiple of 71665 and 71681