What is the Greatest Common Factor of 67400 and 67415?

Greatest common factor (GCF) of 67400 and 67415 is 5.

GCF(67400,67415) = 5

We will now calculate the prime factors of 67400 and 67415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67400 and 67415.

How to find the GCF of 67400 and 67415?

We will first find the prime factorization of 67400 and 67415. After we will calculate the factors of 67400 and 67415 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 67415

Prime factors of 67415 are 5, 97, 139. Prime factorization of 67415 in exponential form is:

67415 = 5¹ × 97¹ × 139¹

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 67415

List of positive integer factors of 67415 that divides 67400 without a remainder.

1, 5, 97, 139, 485, 695, 13483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67400 and 67415. The biggest common factor number is the GCF number.
So the greatest common factor 67400 and 67415 is 5.

Also check out the Least Common Multiple of 67400 and 67415