What is the Greatest Common Factor of 77395 and 77400?

Greatest common factor (GCF) of 77395 and 77400 is 5.

GCF(77395,77400) = 5

We will now calculate the prime factors of 77395 and 77400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77395 and 77400.

How to find the GCF of 77395 and 77400?

We will first find the prime factorization of 77395 and 77400. After we will calculate the factors of 77395 and 77400 and find the biggest common factor number .

Step-1: Prime Factorization of 77395

Prime factors of 77395 are 5, 23, 673. Prime factorization of 77395 in exponential form is:

77395 = 5¹ × 23¹ × 673¹

Step-2: Prime Factorization of 77400

Prime factors of 77400 are 2, 3, 5, 43. Prime factorization of 77400 in exponential form is:

77400 = 2³ × 3² × 5² × 43¹

Step-3: Factors of 77395

List of positive integer factors of 77395 that divides 77395 without a remainder.

1, 5, 23, 115, 673, 3365, 15479

Step-4: Factors of 77400

List of positive integer factors of 77400 that divides 77395 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 43, 45, 50, 60, 72, 75, 86, 90, 100, 120, 129, 150, 172, 180, 200, 215, 225, 258, 300, 344, 360, 387, 430, 450, 516, 600, 645, 774, 860, 900, 1032, 1075, 1290, 1548, 1720, 1800, 1935, 2150, 2580, 3096, 3225, 3870, 4300, 5160, 6450, 7740, 8600, 9675, 12900, 15480, 19350, 25800, 38700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77395 and 77400. The biggest common factor number is the GCF number.
So the greatest common factor 77395 and 77400 is 5.

Also check out the Least Common Multiple of 77395 and 77400