What is the Greatest Common Factor of 71361 and 71369?

Greatest common factor (GCF) of 71361 and 71369 is 1.

GCF(71361,71369) = 1

We will now calculate the prime factors of 71361 and 71369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71361 and 71369.

How to find the GCF of 71361 and 71369?

We will first find the prime factorization of 71361 and 71369. After we will calculate the factors of 71361 and 71369 and find the biggest common factor number .

Step-1: Prime Factorization of 71361

Prime factors of 71361 are 3, 881. Prime factorization of 71361 in exponential form is:

71361 = 3⁴ × 881¹

Step-2: Prime Factorization of 71369

Prime factors of 71369 are 23, 29, 107. Prime factorization of 71369 in exponential form is:

71369 = 23¹ × 29¹ × 107¹

Step-3: Factors of 71361

List of positive integer factors of 71361 that divides 71361 without a remainder.

1, 3, 9, 27, 81, 881, 2643, 7929, 23787

Step-4: Factors of 71369

List of positive integer factors of 71369 that divides 71361 without a remainder.

1, 23, 29, 107, 667, 2461, 3103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71361 and 71369. The biggest common factor number is the GCF number.
So the greatest common factor 71361 and 71369 is 1.

Also check out the Least Common Multiple of 71361 and 71369