What is the Greatest Common Factor of 77400 and 77415?

Greatest common factor (GCF) of 77400 and 77415 is 15.

GCF(77400,77415) = 15

We will now calculate the prime factors of 77400 and 77415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77400 and 77415.

How to find the GCF of 77400 and 77415?

We will first find the prime factorization of 77400 and 77415. After we will calculate the factors of 77400 and 77415 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 77415

Prime factors of 77415 are 3, 5, 13, 397. Prime factorization of 77415 in exponential form is:

77415 = 3¹ × 5¹ × 13¹ × 397¹

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 77415

List of positive integer factors of 77415 that divides 77400 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 397, 1191, 1985, 5161, 5955, 15483, 25805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77400 and 77415. The biggest common factor number is the GCF number.
So the greatest common factor 77400 and 77415 is 15.

Also check out the Least Common Multiple of 77400 and 77415