What is the Greatest Common Factor of 71135 and 71149?

Greatest common factor (GCF) of 71135 and 71149 is 1.

GCF(71135,71149) = 1

We will now calculate the prime factors of 71135 and 71149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71135 and 71149.

How to find the GCF of 71135 and 71149?

We will first find the prime factorization of 71135 and 71149. After we will calculate the factors of 71135 and 71149 and find the biggest common factor number .

Step-1: Prime Factorization of 71135

Prime factors of 71135 are 5, 41, 347. Prime factorization of 71135 in exponential form is:

71135 = 5¹ × 41¹ × 347¹

Step-2: Prime Factorization of 71149

Prime factors of 71149 are 13, 421. Prime factorization of 71149 in exponential form is:

71149 = 13² × 421¹

Step-3: Factors of 71135

List of positive integer factors of 71135 that divides 71135 without a remainder.

1, 5, 41, 205, 347, 1735, 14227

Step-4: Factors of 71149

List of positive integer factors of 71149 that divides 71135 without a remainder.

1, 13, 169, 421, 5473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71135 and 71149. The biggest common factor number is the GCF number.
So the greatest common factor 71135 and 71149 is 1.

Also check out the Least Common Multiple of 71135 and 71149