What is the Greatest Common Factor of 67400 and 67411?

Greatest common factor (GCF) of 67400 and 67411 is 1.

GCF(67400,67411) = 1

We will now calculate the prime factors of 67400 and 67411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67400 and 67411.

How to find the GCF of 67400 and 67411?

We will first find the prime factorization of 67400 and 67411. After we will calculate the factors of 67400 and 67411 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 67411

Prime factors of 67411 are 67411. Prime factorization of 67411 in exponential form is:

67411 = 67411¹

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 67411

List of positive integer factors of 67411 that divides 67400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67400 and 67411. The biggest common factor number is the GCF number.
So the greatest common factor 67400 and 67411 is 1.

Also check out the Least Common Multiple of 67400 and 67411