What is the Greatest Common Factor of 42393 and 42400?

Greatest common factor (GCF) of 42393 and 42400 is 1.

GCF(42393,42400) = 1

We will now calculate the prime factors of 42393 and 42400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42393 and 42400.

How to find the GCF of 42393 and 42400?

We will first find the prime factorization of 42393 and 42400. After we will calculate the factors of 42393 and 42400 and find the biggest common factor number .

Step-1: Prime Factorization of 42393

Prime factors of 42393 are 3, 13, 1087. Prime factorization of 42393 in exponential form is:

42393 = 3¹ × 13¹ × 1087¹

Step-2: Prime Factorization of 42400

Prime factors of 42400 are 2, 5, 53. Prime factorization of 42400 in exponential form is:

42400 = 2⁵ × 5² × 53¹

Step-3: Factors of 42393

List of positive integer factors of 42393 that divides 42393 without a remainder.

1, 3, 13, 39, 1087, 3261, 14131

Step-4: Factors of 42400

List of positive integer factors of 42400 that divides 42393 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 53, 80, 100, 106, 160, 200, 212, 265, 400, 424, 530, 800, 848, 1060, 1325, 1696, 2120, 2650, 4240, 5300, 8480, 10600, 21200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42393 and 42400. The biggest common factor number is the GCF number.
So the greatest common factor 42393 and 42400 is 1.

Also check out the Least Common Multiple of 42393 and 42400