What is the Greatest Common Factor of 76341 and 76350?

Greatest common factor (GCF) of 76341 and 76350 is 3.

GCF(76341,76350) = 3

We will now calculate the prime factors of 76341 and 76350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76341 and 76350.

How to find the GCF of 76341 and 76350?

We will first find the prime factorization of 76341 and 76350. After we will calculate the factors of 76341 and 76350 and find the biggest common factor number .

Step-1: Prime Factorization of 76341

Prime factors of 76341 are 3, 25447. Prime factorization of 76341 in exponential form is:

76341 = 3¹ × 25447¹

Step-2: 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-3: Factors of 76341

List of positive integer factors of 76341 that divides 76341 without a remainder.

1, 3, 25447

Step-4: Factors of 76350

List of positive integer factors of 76350 that divides 76341 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76341 and 76350. The biggest common factor number is the GCF number.
So the greatest common factor 76341 and 76350 is 3.

Also check out the Least Common Multiple of 76341 and 76350