What is the Greatest Common Factor of 71341 and 71360?

Greatest common factor (GCF) of 71341 and 71360 is 1.

GCF(71341,71360) = 1

We will now calculate the prime factors of 71341 and 71360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71341 and 71360.

How to find the GCF of 71341 and 71360?

We will first find the prime factorization of 71341 and 71360. After we will calculate the factors of 71341 and 71360 and find the biggest common factor number .

Step-1: Prime Factorization of 71341

Prime factors of 71341 are 71341. Prime factorization of 71341 in exponential form is:

71341 = 71341¹

Step-2: Prime Factorization of 71360

Prime factors of 71360 are 2, 5, 223. Prime factorization of 71360 in exponential form is:

71360 = 2⁶ × 5¹ × 223¹

Step-3: Factors of 71341

List of positive integer factors of 71341 that divides 71341 without a remainder.

Step-4: Factors of 71360

List of positive integer factors of 71360 that divides 71341 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 223, 320, 446, 892, 1115, 1784, 2230, 3568, 4460, 7136, 8920, 14272, 17840, 35680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71341 and 71360. The biggest common factor number is the GCF number.
So the greatest common factor 71341 and 71360 is 1.

Also check out the Least Common Multiple of 71341 and 71360