What is the Greatest Common Factor of 19272 and 19291?

Greatest common factor (GCF) of 19272 and 19291 is 1.

GCF(19272,19291) = 1

We will now calculate the prime factors of 19272 and 19291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19272 and 19291.

How to find the GCF of 19272 and 19291?

We will first find the prime factorization of 19272 and 19291. After we will calculate the factors of 19272 and 19291 and find the biggest common factor number .

Step-1: Prime Factorization of 19272

Prime factors of 19272 are 2, 3, 11, 73. Prime factorization of 19272 in exponential form is:

19272 = 2³ × 3¹ × 11¹ × 73¹

Step-2: Prime Factorization of 19291

Prime factors of 19291 are 101, 191. Prime factorization of 19291 in exponential form is:

19291 = 101¹ × 191¹

Step-3: Factors of 19272

List of positive integer factors of 19272 that divides 19272 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 73, 88, 132, 146, 219, 264, 292, 438, 584, 803, 876, 1606, 1752, 2409, 3212, 4818, 6424, 9636

Step-4: Factors of 19291

List of positive integer factors of 19291 that divides 19272 without a remainder.

1, 101, 191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19272 and 19291. The biggest common factor number is the GCF number.
So the greatest common factor 19272 and 19291 is 1.

Also check out the Least Common Multiple of 19272 and 19291