What is the Greatest Common Factor of 19032 and 19045?

Greatest common factor (GCF) of 19032 and 19045 is 13.

GCF(19032,19045) = 13

We will now calculate the prime factors of 19032 and 19045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19032 and 19045.

How to find the GCF of 19032 and 19045?

We will first find the prime factorization of 19032 and 19045. After we will calculate the factors of 19032 and 19045 and find the biggest common factor number .

Step-1: Prime Factorization of 19032

Prime factors of 19032 are 2, 3, 13, 61. Prime factorization of 19032 in exponential form is:

19032 = 2³ × 3¹ × 13¹ × 61¹

Step-2: Prime Factorization of 19045

Prime factors of 19045 are 5, 13, 293. Prime factorization of 19045 in exponential form is:

19045 = 5¹ × 13¹ × 293¹

Step-3: Factors of 19032

List of positive integer factors of 19032 that divides 19032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 61, 78, 104, 122, 156, 183, 244, 312, 366, 488, 732, 793, 1464, 1586, 2379, 3172, 4758, 6344, 9516

Step-4: Factors of 19045

List of positive integer factors of 19045 that divides 19032 without a remainder.

1, 5, 13, 65, 293, 1465, 3809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19032 and 19045. The biggest common factor number is the GCF number.
So the greatest common factor 19032 and 19045 is 13.

Also check out the Least Common Multiple of 19032 and 19045