What is the Greatest Common Factor of 19170 and 19180?

Greatest common factor (GCF) of 19170 and 19180 is 10.

GCF(19170,19180) = 10

We will now calculate the prime factors of 19170 and 19180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19170 and 19180.

How to find the GCF of 19170 and 19180?

We will first find the prime factorization of 19170 and 19180. After we will calculate the factors of 19170 and 19180 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 19180

Prime factors of 19180 are 2, 5, 7, 137. Prime factorization of 19180 in exponential form is:

19180 = 2² × 5¹ × 7¹ × 137¹

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 19180

List of positive integer factors of 19180 that divides 19170 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 137, 140, 274, 548, 685, 959, 1370, 1918, 2740, 3836, 4795, 9590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19170 and 19180. The biggest common factor number is the GCF number.
So the greatest common factor 19170 and 19180 is 10.

Also check out the Least Common Multiple of 19170 and 19180