What is the Greatest Common Factor of 19341 and 19348?

Greatest common factor (GCF) of 19341 and 19348 is 7.

GCF(19341,19348) = 7

We will now calculate the prime factors of 19341 and 19348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19341 and 19348.

How to find the GCF of 19341 and 19348?

We will first find the prime factorization of 19341 and 19348. After we will calculate the factors of 19341 and 19348 and find the biggest common factor number .

Step-1: Prime Factorization of 19341

Prime factors of 19341 are 3, 7, 307. Prime factorization of 19341 in exponential form is:

19341 = 3² × 7¹ × 307¹

Step-2: Prime Factorization of 19348

Prime factors of 19348 are 2, 7, 691. Prime factorization of 19348 in exponential form is:

19348 = 2² × 7¹ × 691¹

Step-3: Factors of 19341

List of positive integer factors of 19341 that divides 19341 without a remainder.

1, 3, 7, 9, 21, 63, 307, 921, 2149, 2763, 6447

Step-4: Factors of 19348

List of positive integer factors of 19348 that divides 19341 without a remainder.

1, 2, 4, 7, 14, 28, 691, 1382, 2764, 4837, 9674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19341 and 19348. The biggest common factor number is the GCF number.
So the greatest common factor 19341 and 19348 is 7.

Also check out the Least Common Multiple of 19341 and 19348