What is the Greatest Common Factor of 19053 and 19068?

Greatest common factor (GCF) of 19053 and 19068 is 3.

GCF(19053,19068) = 3

We will now calculate the prime factors of 19053 and 19068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19053 and 19068.

How to find the GCF of 19053 and 19068?

We will first find the prime factorization of 19053 and 19068. After we will calculate the factors of 19053 and 19068 and find the biggest common factor number .

Step-1: Prime Factorization of 19053

Prime factors of 19053 are 3, 29, 73. Prime factorization of 19053 in exponential form is:

19053 = 3² × 29¹ × 73¹

Step-2: Prime Factorization of 19068

Prime factors of 19068 are 2, 3, 7, 227. Prime factorization of 19068 in exponential form is:

19068 = 2² × 3¹ × 7¹ × 227¹

Step-3: Factors of 19053

List of positive integer factors of 19053 that divides 19053 without a remainder.

1, 3, 9, 29, 73, 87, 219, 261, 657, 2117, 6351

Step-4: Factors of 19068

List of positive integer factors of 19068 that divides 19053 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 227, 454, 681, 908, 1362, 1589, 2724, 3178, 4767, 6356, 9534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19053 and 19068. The biggest common factor number is the GCF number.
So the greatest common factor 19053 and 19068 is 3.

Also check out the Least Common Multiple of 19053 and 19068