What is the Greatest Common Factor of 67400 and 67404?

Greatest common factor (GCF) of 67400 and 67404 is 4.

GCF(67400,67404) = 4

We will now calculate the prime factors of 67400 and 67404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67400 and 67404.

How to find the GCF of 67400 and 67404?

We will first find the prime factorization of 67400 and 67404. After we will calculate the factors of 67400 and 67404 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 67404

Prime factors of 67404 are 2, 3, 41, 137. Prime factorization of 67404 in exponential form is:

67404 = 2² × 3¹ × 41¹ × 137¹

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 67404

List of positive integer factors of 67404 that divides 67400 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 137, 164, 246, 274, 411, 492, 548, 822, 1644, 5617, 11234, 16851, 22468, 33702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67400 and 67404. The biggest common factor number is the GCF number.
So the greatest common factor 67400 and 67404 is 4.

Also check out the Least Common Multiple of 67400 and 67404