What is the Greatest Common Factor of 17874 and 17892?

Greatest common factor (GCF) of 17874 and 17892 is 18.

GCF(17874,17892) = 18

We will now calculate the prime factors of 17874 and 17892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17874 and 17892.

How to find the GCF of 17874 and 17892?

We will first find the prime factorization of 17874 and 17892. After we will calculate the factors of 17874 and 17892 and find the biggest common factor number .

Step-1: Prime Factorization of 17874

Prime factors of 17874 are 2, 3, 331. Prime factorization of 17874 in exponential form is:

17874 = 2¹ × 3³ × 331¹

Step-2: Prime Factorization of 17892

Prime factors of 17892 are 2, 3, 7, 71. Prime factorization of 17892 in exponential form is:

17892 = 2² × 3² × 7¹ × 71¹

Step-3: Factors of 17874

List of positive integer factors of 17874 that divides 17874 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 331, 662, 993, 1986, 2979, 5958, 8937

Step-4: Factors of 17892

List of positive integer factors of 17892 that divides 17874 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 71, 84, 126, 142, 213, 252, 284, 426, 497, 639, 852, 994, 1278, 1491, 1988, 2556, 2982, 4473, 5964, 8946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17874 and 17892. The biggest common factor number is the GCF number.
So the greatest common factor 17874 and 17892 is 18.

Also check out the Least Common Multiple of 17874 and 17892