What is the Greatest Common Factor of 76398 and 76410?

Greatest common factor (GCF) of 76398 and 76410 is 6.

GCF(76398,76410) = 6

We will now calculate the prime factors of 76398 and 76410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76398 and 76410.

How to find the GCF of 76398 and 76410?

We will first find the prime factorization of 76398 and 76410. After we will calculate the factors of 76398 and 76410 and find the biggest common factor number .

Step-1: Prime Factorization of 76398

Prime factors of 76398 are 2, 3, 7, 17, 107. Prime factorization of 76398 in exponential form is:

76398 = 2¹ × 3¹ × 7¹ × 17¹ × 107¹

Step-2: Prime Factorization of 76410

Prime factors of 76410 are 2, 3, 5, 283. Prime factorization of 76410 in exponential form is:

76410 = 2¹ × 3³ × 5¹ × 283¹

Step-3: Factors of 76398

List of positive integer factors of 76398 that divides 76398 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 107, 119, 214, 238, 321, 357, 642, 714, 749, 1498, 1819, 2247, 3638, 4494, 5457, 10914, 12733, 25466, 38199

Step-4: Factors of 76410

List of positive integer factors of 76410 that divides 76398 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 283, 566, 849, 1415, 1698, 2547, 2830, 4245, 5094, 7641, 8490, 12735, 15282, 25470, 38205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76398 and 76410. The biggest common factor number is the GCF number.
So the greatest common factor 76398 and 76410 is 6.

Also check out the Least Common Multiple of 76398 and 76410