What is the Greatest Common Factor of 13433 and 13452?

Greatest common factor (GCF) of 13433 and 13452 is 19.

GCF(13433,13452) = 19

We will now calculate the prime factors of 13433 and 13452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13433 and 13452.

How to find the GCF of 13433 and 13452?

We will first find the prime factorization of 13433 and 13452. After we will calculate the factors of 13433 and 13452 and find the biggest common factor number .

Step-1: Prime Factorization of 13433

Prime factors of 13433 are 7, 19, 101. Prime factorization of 13433 in exponential form is:

13433 = 7¹ × 19¹ × 101¹

Step-2: Prime Factorization of 13452

Prime factors of 13452 are 2, 3, 19, 59. Prime factorization of 13452 in exponential form is:

13452 = 2² × 3¹ × 19¹ × 59¹

Step-3: Factors of 13433

List of positive integer factors of 13433 that divides 13433 without a remainder.

1, 7, 19, 101, 133, 707, 1919

Step-4: Factors of 13452

List of positive integer factors of 13452 that divides 13433 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 59, 76, 114, 118, 177, 228, 236, 354, 708, 1121, 2242, 3363, 4484, 6726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13433 and 13452. The biggest common factor number is the GCF number.
So the greatest common factor 13433 and 13452 is 19.

Also check out the Least Common Multiple of 13433 and 13452