What is the Greatest Common Factor of 19149 and 19162?

Greatest common factor (GCF) of 19149 and 19162 is 13.

GCF(19149,19162) = 13

We will now calculate the prime factors of 19149 and 19162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19149 and 19162.

How to find the GCF of 19149 and 19162?

We will first find the prime factorization of 19149 and 19162. After we will calculate the factors of 19149 and 19162 and find the biggest common factor number .

Step-1: Prime Factorization of 19149

Prime factors of 19149 are 3, 13, 491. Prime factorization of 19149 in exponential form is:

19149 = 3¹ × 13¹ × 491¹

Step-2: Prime Factorization of 19162

Prime factors of 19162 are 2, 11, 13, 67. Prime factorization of 19162 in exponential form is:

19162 = 2¹ × 11¹ × 13¹ × 67¹

Step-3: Factors of 19149

List of positive integer factors of 19149 that divides 19149 without a remainder.

1, 3, 13, 39, 491, 1473, 6383

Step-4: Factors of 19162

List of positive integer factors of 19162 that divides 19149 without a remainder.

1, 2, 11, 13, 22, 26, 67, 134, 143, 286, 737, 871, 1474, 1742, 9581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19149 and 19162. The biggest common factor number is the GCF number.
So the greatest common factor 19149 and 19162 is 13.

Also check out the Least Common Multiple of 19149 and 19162