What is the Greatest Common Factor of 71145 and 71149?

Greatest common factor (GCF) of 71145 and 71149 is 1.

GCF(71145,71149) = 1

We will now calculate the prime factors of 71145 and 71149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71145 and 71149.

How to find the GCF of 71145 and 71149?

We will first find the prime factorization of 71145 and 71149. After we will calculate the factors of 71145 and 71149 and find the biggest common factor number .

Step-1: Prime Factorization of 71145

Prime factors of 71145 are 3, 5, 17, 31. Prime factorization of 71145 in exponential form is:

71145 = 3³ × 5¹ × 17¹ × 31¹

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 71145

List of positive integer factors of 71145 that divides 71145 without a remainder.

1, 3, 5, 9, 15, 17, 27, 31, 45, 51, 85, 93, 135, 153, 155, 255, 279, 459, 465, 527, 765, 837, 1395, 1581, 2295, 2635, 4185, 4743, 7905, 14229, 23715

Step-4: Factors of 71149

List of positive integer factors of 71149 that divides 71145 without a remainder.

1, 13, 169, 421, 5473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71145 and 71149. The biggest common factor number is the GCF number.
So the greatest common factor 71145 and 71149 is 1.

Also check out the Least Common Multiple of 71145 and 71149