What is the Greatest Common Factor of 53805 and 53815?

Greatest common factor (GCF) of 53805 and 53815 is 5.

GCF(53805,53815) = 5

We will now calculate the prime factors of 53805 and 53815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53805 and 53815.

How to find the GCF of 53805 and 53815?

We will first find the prime factorization of 53805 and 53815. After we will calculate the factors of 53805 and 53815 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 53815

Prime factors of 53815 are 5, 47, 229. Prime factorization of 53815 in exponential form is:

53815 = 5¹ × 47¹ × 229¹

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 53815

List of positive integer factors of 53815 that divides 53805 without a remainder.

1, 5, 47, 229, 235, 1145, 10763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53805 and 53815. The biggest common factor number is the GCF number.
So the greatest common factor 53805 and 53815 is 5.

Also check out the Least Common Multiple of 53805 and 53815