What is the Greatest Common Factor of 71130 and 71145?

Greatest common factor (GCF) of 71130 and 71145 is 15.

GCF(71130,71145) = 15

We will now calculate the prime factors of 71130 and 71145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71130 and 71145.

How to find the GCF of 71130 and 71145?

We will first find the prime factorization of 71130 and 71145. After we will calculate the factors of 71130 and 71145 and find the biggest common factor number .

Step-1: Prime Factorization of 71130

Prime factors of 71130 are 2, 3, 5, 2371. Prime factorization of 71130 in exponential form is:

71130 = 2¹ × 3¹ × 5¹ × 2371¹

Step-2: 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-3: Factors of 71130

List of positive integer factors of 71130 that divides 71130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2371, 4742, 7113, 11855, 14226, 23710, 35565

Step-4: Factors of 71145

List of positive integer factors of 71145 that divides 71130 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71130 and 71145. The biggest common factor number is the GCF number.
So the greatest common factor 71130 and 71145 is 15.

Also check out the Least Common Multiple of 71130 and 71145