What is the Greatest Common Factor of 71145 and 71151?

Greatest common factor (GCF) of 71145 and 71151 is 3.

GCF(71145,71151) = 3

We will now calculate the prime factors of 71145 and 71151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71145 and 71151.

How to find the GCF of 71145 and 71151?

We will first find the prime factorization of 71145 and 71151. After we will calculate the factors of 71145 and 71151 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 71151

Prime factors of 71151 are 3, 37, 641. Prime factorization of 71151 in exponential form is:

71151 = 3¹ × 37¹ × 641¹

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 71151

List of positive integer factors of 71151 that divides 71145 without a remainder.

1, 3, 37, 111, 641, 1923, 23717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71145 and 71151. The biggest common factor number is the GCF number.
So the greatest common factor 71145 and 71151 is 3.

Also check out the Least Common Multiple of 71145 and 71151