What is the Greatest Common Factor of 19118 and 19129?

Greatest common factor (GCF) of 19118 and 19129 is 11.

GCF(19118,19129) = 11

We will now calculate the prime factors of 19118 and 19129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19118 and 19129.

How to find the GCF of 19118 and 19129?

We will first find the prime factorization of 19118 and 19129. After we will calculate the factors of 19118 and 19129 and find the biggest common factor number .

Step-1: Prime Factorization of 19118

Prime factors of 19118 are 2, 11, 79. Prime factorization of 19118 in exponential form is:

19118 = 2¹ × 11² × 79¹

Step-2: Prime Factorization of 19129

Prime factors of 19129 are 11, 37, 47. Prime factorization of 19129 in exponential form is:

19129 = 11¹ × 37¹ × 47¹

Step-3: Factors of 19118

List of positive integer factors of 19118 that divides 19118 without a remainder.

1, 2, 11, 22, 79, 121, 158, 242, 869, 1738, 9559

Step-4: Factors of 19129

List of positive integer factors of 19129 that divides 19118 without a remainder.

1, 11, 37, 47, 407, 517, 1739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19118 and 19129. The biggest common factor number is the GCF number.
So the greatest common factor 19118 and 19129 is 11.

Also check out the Least Common Multiple of 19118 and 19129