What is the Greatest Common Factor of 19145 and 19155?

Greatest common factor (GCF) of 19145 and 19155 is 5.

GCF(19145,19155) = 5

We will now calculate the prime factors of 19145 and 19155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19145 and 19155.

How to find the GCF of 19145 and 19155?

We will first find the prime factorization of 19145 and 19155. After we will calculate the factors of 19145 and 19155 and find the biggest common factor number .

Step-1: Prime Factorization of 19145

Prime factors of 19145 are 5, 7, 547. Prime factorization of 19145 in exponential form is:

19145 = 5¹ × 7¹ × 547¹

Step-2: Prime Factorization of 19155

Prime factors of 19155 are 3, 5, 1277. Prime factorization of 19155 in exponential form is:

19155 = 3¹ × 5¹ × 1277¹

Step-3: Factors of 19145

List of positive integer factors of 19145 that divides 19145 without a remainder.

1, 5, 7, 35, 547, 2735, 3829

Step-4: Factors of 19155

List of positive integer factors of 19155 that divides 19145 without a remainder.

1, 3, 5, 15, 1277, 3831, 6385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19145 and 19155. The biggest common factor number is the GCF number.
So the greatest common factor 19145 and 19155 is 5.

Also check out the Least Common Multiple of 19145 and 19155