What is the Greatest Common Factor of 53805 and 53824?

Greatest common factor (GCF) of 53805 and 53824 is 1.

GCF(53805,53824) = 1

We will now calculate the prime factors of 53805 and 53824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53805 and 53824.

How to find the GCF of 53805 and 53824?

We will first find the prime factorization of 53805 and 53824. After we will calculate the factors of 53805 and 53824 and find the biggest common factor number .

Step-1: Prime Factorization of 53805

Prime factors of 53805 are 3, 5, 17, 211. Prime factorization of 53805 in exponential form is:

53805 = 3¹ × 5¹ × 17¹ × 211¹

Step-2: Prime Factorization of 53824

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

53824 = 2⁶ × 29²

Step-3: Factors of 53805

List of positive integer factors of 53805 that divides 53805 without a remainder.

1, 3, 5, 15, 17, 51, 85, 211, 255, 633, 1055, 3165, 3587, 10761, 17935

Step-4: Factors of 53824

List of positive integer factors of 53824 that divides 53805 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53805 and 53824. The biggest common factor number is the GCF number.
So the greatest common factor 53805 and 53824 is 1.

Also check out the Least Common Multiple of 53805 and 53824