What is the Greatest Common Factor of 71145 and 71161?

Greatest common factor (GCF) of 71145 and 71161 is 1.

GCF(71145,71161) = 1

We will now calculate the prime factors of 71145 and 71161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71145 and 71161.

How to find the GCF of 71145 and 71161?

We will first find the prime factorization of 71145 and 71161. After we will calculate the factors of 71145 and 71161 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 71161

Prime factors of 71161 are 71161. Prime factorization of 71161 in exponential form is:

71161 = 71161¹

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 71161

List of positive integer factors of 71161 that divides 71145 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71145 and 71161. The biggest common factor number is the GCF number.
So the greatest common factor 71145 and 71161 is 1.

Also check out the Least Common Multiple of 71145 and 71161