What is the Greatest Common Factor of 77400 and 77419?

Greatest common factor (GCF) of 77400 and 77419 is 1.

GCF(77400,77419) = 1

We will now calculate the prime factors of 77400 and 77419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77400 and 77419.

How to find the GCF of 77400 and 77419?

We will first find the prime factorization of 77400 and 77419. After we will calculate the factors of 77400 and 77419 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 77419

Prime factors of 77419 are 77419. Prime factorization of 77419 in exponential form is:

77419 = 77419¹

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 77419

List of positive integer factors of 77419 that divides 77400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77400 and 77419. The biggest common factor number is the GCF number.
So the greatest common factor 77400 and 77419 is 1.

Also check out the Least Common Multiple of 77400 and 77419