What is the Greatest Common Factor of 64400 and 64406?

Greatest common factor (GCF) of 64400 and 64406 is 2.

GCF(64400,64406) = 2

We will now calculate the prime factors of 64400 and 64406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64400 and 64406.

How to find the GCF of 64400 and 64406?

We will first find the prime factorization of 64400 and 64406. After we will calculate the factors of 64400 and 64406 and find the biggest common factor number .

Step-1: Prime Factorization of 64400

Prime factors of 64400 are 2, 5, 7, 23. Prime factorization of 64400 in exponential form is:

64400 = 2⁴ × 5² × 7¹ × 23¹

Step-2: Prime Factorization of 64406

Prime factors of 64406 are 2, 32203. Prime factorization of 64406 in exponential form is:

64406 = 2¹ × 32203¹

Step-3: Factors of 64400

List of positive integer factors of 64400 that divides 64400 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 23, 25, 28, 35, 40, 46, 50, 56, 70, 80, 92, 100, 112, 115, 140, 161, 175, 184, 200, 230, 280, 322, 350, 368, 400, 460, 560, 575, 644, 700, 805, 920, 1150, 1288, 1400, 1610, 1840, 2300, 2576, 2800, 3220, 4025, 4600, 6440, 8050, 9200, 12880, 16100, 32200

Step-4: Factors of 64406

List of positive integer factors of 64406 that divides 64400 without a remainder.

1, 2, 32203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64400 and 64406. The biggest common factor number is the GCF number.
So the greatest common factor 64400 and 64406 is 2.

Also check out the Least Common Multiple of 64400 and 64406