What is the Greatest Common Factor of 19085 and 19104?

Greatest common factor (GCF) of 19085 and 19104 is 1.

GCF(19085,19104) = 1

We will now calculate the prime factors of 19085 and 19104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19085 and 19104.

How to find the GCF of 19085 and 19104?

We will first find the prime factorization of 19085 and 19104. After we will calculate the factors of 19085 and 19104 and find the biggest common factor number .

Step-1: Prime Factorization of 19085

Prime factors of 19085 are 5, 11, 347. Prime factorization of 19085 in exponential form is:

19085 = 5¹ × 11¹ × 347¹

Step-2: Prime Factorization of 19104

Prime factors of 19104 are 2, 3, 199. Prime factorization of 19104 in exponential form is:

19104 = 2⁵ × 3¹ × 199¹

Step-3: Factors of 19085

List of positive integer factors of 19085 that divides 19085 without a remainder.

1, 5, 11, 55, 347, 1735, 3817

Step-4: Factors of 19104

List of positive integer factors of 19104 that divides 19085 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776, 6368, 9552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19085 and 19104. The biggest common factor number is the GCF number.
So the greatest common factor 19085 and 19104 is 1.

Also check out the Least Common Multiple of 19085 and 19104