What is the Greatest Common Factor of 71367 and 71378?

Greatest common factor (GCF) of 71367 and 71378 is 1.

GCF(71367,71378) = 1

We will now calculate the prime factors of 71367 and 71378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71367 and 71378.

How to find the GCF of 71367 and 71378?

We will first find the prime factorization of 71367 and 71378. After we will calculate the factors of 71367 and 71378 and find the biggest common factor number .

Step-1: Prime Factorization of 71367

Prime factors of 71367 are 3, 23789. Prime factorization of 71367 in exponential form is:

71367 = 3¹ × 23789¹

Step-2: Prime Factorization of 71378

Prime factors of 71378 are 2, 89, 401. Prime factorization of 71378 in exponential form is:

71378 = 2¹ × 89¹ × 401¹

Step-3: Factors of 71367

List of positive integer factors of 71367 that divides 71367 without a remainder.

1, 3, 23789

Step-4: Factors of 71378

List of positive integer factors of 71378 that divides 71367 without a remainder.

1, 2, 89, 178, 401, 802, 35689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71367 and 71378. The biggest common factor number is the GCF number.
So the greatest common factor 71367 and 71378 is 1.

Also check out the Least Common Multiple of 71367 and 71378