What is the Greatest Common Factor of 71330 and 71341?

Greatest common factor (GCF) of 71330 and 71341 is 1.

GCF(71330,71341) = 1

We will now calculate the prime factors of 71330 and 71341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71330 and 71341.

How to find the GCF of 71330 and 71341?

We will first find the prime factorization of 71330 and 71341. After we will calculate the factors of 71330 and 71341 and find the biggest common factor number .

Step-1: Prime Factorization of 71330

Prime factors of 71330 are 2, 5, 7, 1019. Prime factorization of 71330 in exponential form is:

71330 = 2¹ × 5¹ × 7¹ × 1019¹

Step-2: Prime Factorization of 71341

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

71341 = 71341¹

Step-3: Factors of 71330

List of positive integer factors of 71330 that divides 71330 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1019, 2038, 5095, 7133, 10190, 14266, 35665

Step-4: Factors of 71341

List of positive integer factors of 71341 that divides 71330 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71330 and 71341. The biggest common factor number is the GCF number.
So the greatest common factor 71330 and 71341 is 1.

Also check out the Least Common Multiple of 71330 and 71341