What is the Greatest Common Factor of 53824 and 53838?

Greatest common factor (GCF) of 53824 and 53838 is 2.

GCF(53824,53838) = 2

We will now calculate the prime factors of 53824 and 53838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53824 and 53838.

How to find the GCF of 53824 and 53838?

We will first find the prime factorization of 53824 and 53838. After we will calculate the factors of 53824 and 53838 and find the biggest common factor number .

Step-1: Prime Factorization of 53824

Prime factors of 53824 are 2, 29. Prime factorization of 53824 in exponential form is:

53824 = 2⁶ × 29²

Step-2: 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-3: Factors of 53824

List of positive integer factors of 53824 that divides 53824 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 841, 928, 1682, 1856, 3364, 6728, 13456, 26912

Step-4: Factors of 53838

List of positive integer factors of 53838 that divides 53824 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53824 and 53838. The biggest common factor number is the GCF number.
So the greatest common factor 53824 and 53838 is 2.

Also check out the Least Common Multiple of 53824 and 53838