What is the Greatest Common Factor of 53838 and 53846?

Greatest common factor (GCF) of 53838 and 53846 is 2.

GCF(53838,53846) = 2

We will now calculate the prime factors of 53838 and 53846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53838 and 53846.

How to find the GCF of 53838 and 53846?

We will first find the prime factorization of 53838 and 53846. After we will calculate the factors of 53838 and 53846 and find the biggest common factor number .

Step-1: Prime Factorization of 53838

Prime factors of 53838 are 2, 3, 997. Prime factorization of 53838 in exponential form is:

53838 = 2¹ × 3³ × 997¹

Step-2: Prime Factorization of 53846

Prime factors of 53846 are 2, 13, 19, 109. Prime factorization of 53846 in exponential form is:

53846 = 2¹ × 13¹ × 19¹ × 109¹

Step-3: Factors of 53838

List of positive integer factors of 53838 that divides 53838 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 997, 1994, 2991, 5982, 8973, 17946, 26919

Step-4: Factors of 53846

List of positive integer factors of 53846 that divides 53838 without a remainder.

1, 2, 13, 19, 26, 38, 109, 218, 247, 494, 1417, 2071, 2834, 4142, 26923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53838 and 53846. The biggest common factor number is the GCF number.
So the greatest common factor 53838 and 53846 is 2.

Also check out the Least Common Multiple of 53838 and 53846