What is the Greatest Common Factor of 64400 and 64405?

Greatest common factor (GCF) of 64400 and 64405 is 5.

GCF(64400,64405) = 5

We will now calculate the prime factors of 64400 and 64405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64400 and 64405.

How to find the GCF of 64400 and 64405?

We will first find the prime factorization of 64400 and 64405. After we will calculate the factors of 64400 and 64405 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 64405

Prime factors of 64405 are 5, 11, 1171. Prime factorization of 64405 in exponential form is:

64405 = 5¹ × 11¹ × 1171¹

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 64405

List of positive integer factors of 64405 that divides 64400 without a remainder.

1, 5, 11, 55, 1171, 5855, 12881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64400 and 64405. The biggest common factor number is the GCF number.
So the greatest common factor 64400 and 64405 is 5.

Also check out the Least Common Multiple of 64400 and 64405