What is the Greatest Common Factor of 60400 and 60414?

Greatest common factor (GCF) of 60400 and 60414 is 2.

GCF(60400,60414) = 2

We will now calculate the prime factors of 60400 and 60414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60400 and 60414.

How to find the GCF of 60400 and 60414?

We will first find the prime factorization of 60400 and 60414. After we will calculate the factors of 60400 and 60414 and find the biggest common factor number .

Step-1: Prime Factorization of 60400

Prime factors of 60400 are 2, 5, 151. Prime factorization of 60400 in exponential form is:

60400 = 2⁴ × 5² × 151¹

Step-2: Prime Factorization of 60414

Prime factors of 60414 are 2, 3, 10069. Prime factorization of 60414 in exponential form is:

60414 = 2¹ × 3¹ × 10069¹

Step-3: Factors of 60400

List of positive integer factors of 60400 that divides 60400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 151, 200, 302, 400, 604, 755, 1208, 1510, 2416, 3020, 3775, 6040, 7550, 12080, 15100, 30200

Step-4: Factors of 60414

List of positive integer factors of 60414 that divides 60400 without a remainder.

1, 2, 3, 6, 10069, 20138, 30207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60400 and 60414. The biggest common factor number is the GCF number.
So the greatest common factor 60400 and 60414 is 2.

Also check out the Least Common Multiple of 60400 and 60414