What is the Greatest Common Factor of 19058 and 19076?

Greatest common factor (GCF) of 19058 and 19076 is 2.

GCF(19058,19076) = 2

We will now calculate the prime factors of 19058 and 19076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19058 and 19076.

How to find the GCF of 19058 and 19076?

We will first find the prime factorization of 19058 and 19076. After we will calculate the factors of 19058 and 19076 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19076

Prime factors of 19076 are 2, 19, 251. Prime factorization of 19076 in exponential form is:

19076 = 2² × 19¹ × 251¹

Step-3: Factors of 19058

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

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

Step-4: Factors of 19076

List of positive integer factors of 19076 that divides 19058 without a remainder.

1, 2, 4, 19, 38, 76, 251, 502, 1004, 4769, 9538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19058 and 19076. The biggest common factor number is the GCF number.
So the greatest common factor 19058 and 19076 is 2.

Also check out the Least Common Multiple of 19058 and 19076