What is the Greatest Common Factor of 42386 and 42400?

Greatest common factor (GCF) of 42386 and 42400 is 2.

GCF(42386,42400) = 2

We will now calculate the prime factors of 42386 and 42400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42386 and 42400.

How to find the GCF of 42386 and 42400?

We will first find the prime factorization of 42386 and 42400. After we will calculate the factors of 42386 and 42400 and find the biggest common factor number .

Step-1: Prime Factorization of 42386

Prime factors of 42386 are 2, 21193. Prime factorization of 42386 in exponential form is:

42386 = 2¹ × 21193¹

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 42386

List of positive integer factors of 42386 that divides 42386 without a remainder.

1, 2, 21193

Step-4: Factors of 42400

List of positive integer factors of 42400 that divides 42386 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 42386 and 42400. The biggest common factor number is the GCF number.
So the greatest common factor 42386 and 42400 is 2.

Also check out the Least Common Multiple of 42386 and 42400