What is the Greatest Common Factor of 19159 and 19176?

Greatest common factor (GCF) of 19159 and 19176 is 17.

GCF(19159,19176) = 17

We will now calculate the prime factors of 19159 and 19176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19159 and 19176.

How to find the GCF of 19159 and 19176?

We will first find the prime factorization of 19159 and 19176. After we will calculate the factors of 19159 and 19176 and find the biggest common factor number .

Step-1: Prime Factorization of 19159

Prime factors of 19159 are 7, 17, 23. Prime factorization of 19159 in exponential form is:

19159 = 7² × 17¹ × 23¹

Step-2: Prime Factorization of 19176

Prime factors of 19176 are 2, 3, 17, 47. Prime factorization of 19176 in exponential form is:

19176 = 2³ × 3¹ × 17¹ × 47¹

Step-3: Factors of 19159

List of positive integer factors of 19159 that divides 19159 without a remainder.

1, 7, 17, 23, 49, 119, 161, 391, 833, 1127, 2737

Step-4: Factors of 19176

List of positive integer factors of 19176 that divides 19159 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 47, 51, 68, 94, 102, 136, 141, 188, 204, 282, 376, 408, 564, 799, 1128, 1598, 2397, 3196, 4794, 6392, 9588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19159 and 19176. The biggest common factor number is the GCF number.
So the greatest common factor 19159 and 19176 is 17.

Also check out the Least Common Multiple of 19159 and 19176