What is the Greatest Common Factor of 19170 and 19176?

Greatest common factor (GCF) of 19170 and 19176 is 6.

GCF(19170,19176) = 6

We will now calculate the prime factors of 19170 and 19176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19170 and 19176.

How to find the GCF of 19170 and 19176?

We will first find the prime factorization of 19170 and 19176. After we will calculate the factors of 19170 and 19176 and find the biggest common factor number .

Step-1: Prime Factorization of 19170

Prime factors of 19170 are 2, 3, 5, 71. Prime factorization of 19170 in exponential form is:

19170 = 2¹ × 3³ × 5¹ × 71¹

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 19170

List of positive integer factors of 19170 that divides 19170 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 71, 90, 135, 142, 213, 270, 355, 426, 639, 710, 1065, 1278, 1917, 2130, 3195, 3834, 6390, 9585

Step-4: Factors of 19176

List of positive integer factors of 19176 that divides 19170 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 19170 and 19176. The biggest common factor number is the GCF number.
So the greatest common factor 19170 and 19176 is 6.

Also check out the Least Common Multiple of 19170 and 19176