What is the Greatest Common Factor of 13053 and 13072?

Greatest common factor (GCF) of 13053 and 13072 is 19.

GCF(13053,13072) = 19

We will now calculate the prime factors of 13053 and 13072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13053 and 13072.

How to find the GCF of 13053 and 13072?

We will first find the prime factorization of 13053 and 13072. After we will calculate the factors of 13053 and 13072 and find the biggest common factor number .

Step-1: Prime Factorization of 13053

Prime factors of 13053 are 3, 19, 229. Prime factorization of 13053 in exponential form is:

13053 = 3¹ × 19¹ × 229¹

Step-2: Prime Factorization of 13072

Prime factors of 13072 are 2, 19, 43. Prime factorization of 13072 in exponential form is:

13072 = 2⁴ × 19¹ × 43¹

Step-3: Factors of 13053

List of positive integer factors of 13053 that divides 13053 without a remainder.

1, 3, 19, 57, 229, 687, 4351

Step-4: Factors of 13072

List of positive integer factors of 13072 that divides 13053 without a remainder.

1, 2, 4, 8, 16, 19, 38, 43, 76, 86, 152, 172, 304, 344, 688, 817, 1634, 3268, 6536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13053 and 13072. The biggest common factor number is the GCF number.
So the greatest common factor 13053 and 13072 is 19.

Also check out the Least Common Multiple of 13053 and 13072