What is the Greatest Common Factor of 67400 and 67405?

Greatest common factor (GCF) of 67400 and 67405 is 5.

GCF(67400,67405) = 5

We will now calculate the prime factors of 67400 and 67405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67400 and 67405.

How to find the GCF of 67400 and 67405?

We will first find the prime factorization of 67400 and 67405. After we will calculate the factors of 67400 and 67405 and find the biggest common factor number .

Step-1: Prime Factorization of 67400

Prime factors of 67400 are 2, 5, 337. Prime factorization of 67400 in exponential form is:

67400 = 2³ × 5² × 337¹

Step-2: Prime Factorization of 67405

Prime factors of 67405 are 5, 13, 17, 61. Prime factorization of 67405 in exponential form is:

67405 = 5¹ × 13¹ × 17¹ × 61¹

Step-3: Factors of 67400

List of positive integer factors of 67400 that divides 67400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 337, 674, 1348, 1685, 2696, 3370, 6740, 8425, 13480, 16850, 33700

Step-4: Factors of 67405

List of positive integer factors of 67405 that divides 67400 without a remainder.

1, 5, 13, 17, 61, 65, 85, 221, 305, 793, 1037, 1105, 3965, 5185, 13481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67400 and 67405. The biggest common factor number is the GCF number.
So the greatest common factor 67400 and 67405 is 5.

Also check out the Least Common Multiple of 67400 and 67405