What is the Greatest Common Factor of 19348 and 19362?

Greatest common factor (GCF) of 19348 and 19362 is 14.

GCF(19348,19362) = 14

We will now calculate the prime factors of 19348 and 19362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19348 and 19362.

How to find the GCF of 19348 and 19362?

We will first find the prime factorization of 19348 and 19362. After we will calculate the factors of 19348 and 19362 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19362

Prime factors of 19362 are 2, 3, 7, 461. Prime factorization of 19362 in exponential form is:

19362 = 2¹ × 3¹ × 7¹ × 461¹

Step-3: Factors of 19348

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

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

Step-4: Factors of 19362

List of positive integer factors of 19362 that divides 19348 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 461, 922, 1383, 2766, 3227, 6454, 9681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19348 and 19362. The biggest common factor number is the GCF number.
So the greatest common factor 19348 and 19362 is 14.

Also check out the Least Common Multiple of 19348 and 19362