What is the Greatest Common Factor of 19045 and 19058?

Greatest common factor (GCF) of 19045 and 19058 is 13.

GCF(19045,19058) = 13

We will now calculate the prime factors of 19045 and 19058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19045 and 19058.

How to find the GCF of 19045 and 19058?

We will first find the prime factorization of 19045 and 19058. After we will calculate the factors of 19045 and 19058 and find the biggest common factor number .

Step-1: Prime Factorization of 19045

Prime factors of 19045 are 5, 13, 293. Prime factorization of 19045 in exponential form is:

19045 = 5¹ × 13¹ × 293¹

Step-2: Prime Factorization of 19058

Prime factors of 19058 are 2, 13, 733. Prime factorization of 19058 in exponential form is:

19058 = 2¹ × 13¹ × 733¹

Step-3: Factors of 19045

List of positive integer factors of 19045 that divides 19045 without a remainder.

1, 5, 13, 65, 293, 1465, 3809

Step-4: Factors of 19058

List of positive integer factors of 19058 that divides 19045 without a remainder.

1, 2, 13, 26, 733, 1466, 9529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19045 and 19058. The biggest common factor number is the GCF number.
So the greatest common factor 19045 and 19058 is 13.

Also check out the Least Common Multiple of 19045 and 19058