What is the Greatest Common Factor of 54400 and 54415?

Greatest common factor (GCF) of 54400 and 54415 is 5.

GCF(54400,54415) = 5

We will now calculate the prime factors of 54400 and 54415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54400 and 54415.

How to find the GCF of 54400 and 54415?

We will first find the prime factorization of 54400 and 54415. After we will calculate the factors of 54400 and 54415 and find the biggest common factor number .

Step-1: Prime Factorization of 54400

Prime factors of 54400 are 2, 5, 17. Prime factorization of 54400 in exponential form is:

54400 = 2⁷ × 5² × 17¹

Step-2: Prime Factorization of 54415

Prime factors of 54415 are 5, 10883. Prime factorization of 54415 in exponential form is:

54415 = 5¹ × 10883¹

Step-3: Factors of 54400

List of positive integer factors of 54400 that divides 54400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 32, 34, 40, 50, 64, 68, 80, 85, 100, 128, 136, 160, 170, 200, 272, 320, 340, 400, 425, 544, 640, 680, 800, 850, 1088, 1360, 1600, 1700, 2176, 2720, 3200, 3400, 5440, 6800, 10880, 13600, 27200

Step-4: Factors of 54415

List of positive integer factors of 54415 that divides 54400 without a remainder.

1, 5, 10883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54400 and 54415. The biggest common factor number is the GCF number.
So the greatest common factor 54400 and 54415 is 5.

Also check out the Least Common Multiple of 54400 and 54415