What is the Greatest Common Factor of 77390 and 77400?

Greatest common factor (GCF) of 77390 and 77400 is 10.

GCF(77390,77400) = 10

We will now calculate the prime factors of 77390 and 77400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77390 and 77400.

How to find the GCF of 77390 and 77400?

We will first find the prime factorization of 77390 and 77400. After we will calculate the factors of 77390 and 77400 and find the biggest common factor number .

Step-1: Prime Factorization of 77390

Prime factors of 77390 are 2, 5, 71, 109. Prime factorization of 77390 in exponential form is:

77390 = 2¹ × 5¹ × 71¹ × 109¹

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 77390

List of positive integer factors of 77390 that divides 77390 without a remainder.

1, 2, 5, 10, 71, 109, 142, 218, 355, 545, 710, 1090, 7739, 15478, 38695

Step-4: Factors of 77400

List of positive integer factors of 77400 that divides 77390 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 77390 and 77400. The biggest common factor number is the GCF number.
So the greatest common factor 77390 and 77400 is 10.

Also check out the Least Common Multiple of 77390 and 77400