What is the Greatest Common Factor of 77400 and 77409?

Greatest common factor (GCF) of 77400 and 77409 is 9.

GCF(77400,77409) = 9

We will now calculate the prime factors of 77400 and 77409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77400 and 77409.

How to find the GCF of 77400 and 77409?

We will first find the prime factorization of 77400 and 77409. After we will calculate the factors of 77400 and 77409 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77409

Prime factors of 77409 are 3, 47, 61. Prime factorization of 77409 in exponential form is:

77409 = 3³ × 47¹ × 61¹

Step-3: Factors of 77400

List of positive integer factors of 77400 that divides 77400 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

Step-4: Factors of 77409

List of positive integer factors of 77409 that divides 77400 without a remainder.

1, 3, 9, 27, 47, 61, 141, 183, 423, 549, 1269, 1647, 2867, 8601, 25803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77400 and 77409. The biggest common factor number is the GCF number.
So the greatest common factor 77400 and 77409 is 9.

Also check out the Least Common Multiple of 77400 and 77409