What is the Greatest Common Factor of 76350 and 76368?

Greatest common factor (GCF) of 76350 and 76368 is 6.

GCF(76350,76368) = 6

We will now calculate the prime factors of 76350 and 76368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76350 and 76368.

How to find the GCF of 76350 and 76368?

We will first find the prime factorization of 76350 and 76368. After we will calculate the factors of 76350 and 76368 and find the biggest common factor number .

Step-1: Prime Factorization of 76350

Prime factors of 76350 are 2, 3, 5, 509. Prime factorization of 76350 in exponential form is:

76350 = 2¹ × 3¹ × 5² × 509¹

Step-2: Prime Factorization of 76368

Prime factors of 76368 are 2, 3, 37, 43. Prime factorization of 76368 in exponential form is:

76368 = 2⁴ × 3¹ × 37¹ × 43¹

Step-3: Factors of 76350

List of positive integer factors of 76350 that divides 76350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 509, 1018, 1527, 2545, 3054, 5090, 7635, 12725, 15270, 25450, 38175

Step-4: Factors of 76368

List of positive integer factors of 76368 that divides 76350 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 43, 48, 74, 86, 111, 129, 148, 172, 222, 258, 296, 344, 444, 516, 592, 688, 888, 1032, 1591, 1776, 2064, 3182, 4773, 6364, 9546, 12728, 19092, 25456, 38184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76350 and 76368. The biggest common factor number is the GCF number.
So the greatest common factor 76350 and 76368 is 6.

Also check out the Least Common Multiple of 76350 and 76368