What is the Greatest Common Factor of 77384 and 77400?

Greatest common factor (GCF) of 77384 and 77400 is 8.

GCF(77384,77400) = 8

We will now calculate the prime factors of 77384 and 77400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77384 and 77400.

How to find the GCF of 77384 and 77400?

We will first find the prime factorization of 77384 and 77400. After we will calculate the factors of 77384 and 77400 and find the biggest common factor number .

Step-1: Prime Factorization of 77384

Prime factors of 77384 are 2, 17, 569. Prime factorization of 77384 in exponential form is:

77384 = 2³ × 17¹ × 569¹

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 77384

List of positive integer factors of 77384 that divides 77384 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 569, 1138, 2276, 4552, 9673, 19346, 38692

Step-4: Factors of 77400

List of positive integer factors of 77400 that divides 77384 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 77384 and 77400. The biggest common factor number is the GCF number.
So the greatest common factor 77384 and 77400 is 8.

Also check out the Least Common Multiple of 77384 and 77400