What is the Greatest Common Factor of 17380 and 17390?

Greatest common factor (GCF) of 17380 and 17390 is 10.

GCF(17380,17390) = 10

We will now calculate the prime factors of 17380 and 17390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17380 and 17390.

How to find the GCF of 17380 and 17390?

We will first find the prime factorization of 17380 and 17390. After we will calculate the factors of 17380 and 17390 and find the biggest common factor number .

Step-1: Prime Factorization of 17380

Prime factors of 17380 are 2, 5, 11, 79. Prime factorization of 17380 in exponential form is:

17380 = 2² × 5¹ × 11¹ × 79¹

Step-2: Prime Factorization of 17390

Prime factors of 17390 are 2, 5, 37, 47. Prime factorization of 17390 in exponential form is:

17390 = 2¹ × 5¹ × 37¹ × 47¹

Step-3: Factors of 17380

List of positive integer factors of 17380 that divides 17380 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 79, 110, 158, 220, 316, 395, 790, 869, 1580, 1738, 3476, 4345, 8690

Step-4: Factors of 17390

List of positive integer factors of 17390 that divides 17380 without a remainder.

1, 2, 5, 10, 37, 47, 74, 94, 185, 235, 370, 470, 1739, 3478, 8695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17380 and 17390. The biggest common factor number is the GCF number.
So the greatest common factor 17380 and 17390 is 10.

Also check out the Least Common Multiple of 17380 and 17390