What is the Greatest Common Factor of 58400 and 58419?

Greatest common factor (GCF) of 58400 and 58419 is 1.

GCF(58400,58419) = 1

We will now calculate the prime factors of 58400 and 58419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58400 and 58419.

How to find the GCF of 58400 and 58419?

We will first find the prime factorization of 58400 and 58419. After we will calculate the factors of 58400 and 58419 and find the biggest common factor number .

Step-1: Prime Factorization of 58400

Prime factors of 58400 are 2, 5, 73. Prime factorization of 58400 in exponential form is:

58400 = 2⁵ × 5² × 73¹

Step-2: Prime Factorization of 58419

Prime factors of 58419 are 3, 6491. Prime factorization of 58419 in exponential form is:

58419 = 3² × 6491¹

Step-3: Factors of 58400

List of positive integer factors of 58400 that divides 58400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 73, 80, 100, 146, 160, 200, 292, 365, 400, 584, 730, 800, 1168, 1460, 1825, 2336, 2920, 3650, 5840, 7300, 11680, 14600, 29200

Step-4: Factors of 58419

List of positive integer factors of 58419 that divides 58400 without a remainder.

1, 3, 9, 6491, 19473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58400 and 58419. The biggest common factor number is the GCF number.
So the greatest common factor 58400 and 58419 is 1.

Also check out the Least Common Multiple of 58400 and 58419