What is the Greatest Common Factor of 53874 and 53892?

Greatest common factor (GCF) of 53874 and 53892 is 18.

GCF(53874,53892) = 18

We will now calculate the prime factors of 53874 and 53892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53874 and 53892.

How to find the GCF of 53874 and 53892?

We will first find the prime factorization of 53874 and 53892. After we will calculate the factors of 53874 and 53892 and find the biggest common factor number .

Step-1: Prime Factorization of 53874

Prime factors of 53874 are 2, 3, 41, 73. Prime factorization of 53874 in exponential form is:

53874 = 2¹ × 3² × 41¹ × 73¹

Step-2: Prime Factorization of 53892

Prime factors of 53892 are 2, 3, 499. Prime factorization of 53892 in exponential form is:

53892 = 2² × 3³ × 499¹

Step-3: Factors of 53874

List of positive integer factors of 53874 that divides 53874 without a remainder.

1, 2, 3, 6, 9, 18, 41, 73, 82, 123, 146, 219, 246, 369, 438, 657, 738, 1314, 2993, 5986, 8979, 17958, 26937

Step-4: Factors of 53892

List of positive integer factors of 53892 that divides 53874 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 499, 998, 1497, 1996, 2994, 4491, 5988, 8982, 13473, 17964, 26946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53874 and 53892. The biggest common factor number is the GCF number.
So the greatest common factor 53874 and 53892 is 18.

Also check out the Least Common Multiple of 53874 and 53892