What is the Greatest Common Factor of 52400 and 52419?

Greatest common factor (GCF) of 52400 and 52419 is 1.

GCF(52400,52419) = 1

We will now calculate the prime factors of 52400 and 52419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52400 and 52419.

How to find the GCF of 52400 and 52419?

We will first find the prime factorization of 52400 and 52419. After we will calculate the factors of 52400 and 52419 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52419

Prime factors of 52419 are 3, 101, 173. Prime factorization of 52419 in exponential form is:

52419 = 3¹ × 101¹ × 173¹

Step-3: Factors of 52400

List of positive integer factors of 52400 that divides 52400 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

Step-4: Factors of 52419

List of positive integer factors of 52419 that divides 52400 without a remainder.

1, 3, 101, 173, 303, 519, 17473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52400 and 52419. The biggest common factor number is the GCF number.
So the greatest common factor 52400 and 52419 is 1.

Also check out the Least Common Multiple of 52400 and 52419