What is the Greatest Common Factor of 52385 and 52400?

Greatest common factor (GCF) of 52385 and 52400 is 5.

GCF(52385,52400) = 5

We will now calculate the prime factors of 52385 and 52400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52385 and 52400.

How to find the GCF of 52385 and 52400?

We will first find the prime factorization of 52385 and 52400. After we will calculate the factors of 52385 and 52400 and find the biggest common factor number .

Step-1: Prime Factorization of 52385

Prime factors of 52385 are 5, 10477. Prime factorization of 52385 in exponential form is:

52385 = 5¹ × 10477¹

Step-2: Prime Factorization of 52400

Prime factors of 52400 are 2, 5, 131. Prime factorization of 52400 in exponential form is:

52400 = 2⁴ × 5² × 131¹

Step-3: Factors of 52385

List of positive integer factors of 52385 that divides 52385 without a remainder.

1, 5, 10477

Step-4: Factors of 52400

List of positive integer factors of 52400 that divides 52385 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 131, 200, 262, 400, 524, 655, 1048, 1310, 2096, 2620, 3275, 5240, 6550, 10480, 13100, 26200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52385 and 52400. The biggest common factor number is the GCF number.
So the greatest common factor 52385 and 52400 is 5.

Also check out the Least Common Multiple of 52385 and 52400