What is the Greatest Common Factor of 77380 and 77400?

Greatest common factor (GCF) of 77380 and 77400 is 20.

GCF(77380,77400) = 20

We will now calculate the prime factors of 77380 and 77400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77380 and 77400.

How to find the GCF of 77380 and 77400?

We will first find the prime factorization of 77380 and 77400. After we will calculate the factors of 77380 and 77400 and find the biggest common factor number .

Step-1: Prime Factorization of 77380

Prime factors of 77380 are 2, 5, 53, 73. Prime factorization of 77380 in exponential form is:

77380 = 2² × 5¹ × 53¹ × 73¹

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 77380

List of positive integer factors of 77380 that divides 77380 without a remainder.

1, 2, 4, 5, 10, 20, 53, 73, 106, 146, 212, 265, 292, 365, 530, 730, 1060, 1460, 3869, 7738, 15476, 19345, 38690

Step-4: Factors of 77400

List of positive integer factors of 77400 that divides 77380 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 77380 and 77400. The biggest common factor number is the GCF number.
So the greatest common factor 77380 and 77400 is 20.

Also check out the Least Common Multiple of 77380 and 77400