What is the Greatest Common Factor of 76350 and 76367?

Greatest common factor (GCF) of 76350 and 76367 is 1.

GCF(76350,76367) = 1

We will now calculate the prime factors of 76350 and 76367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76350 and 76367.

How to find the GCF of 76350 and 76367?

We will first find the prime factorization of 76350 and 76367. After we will calculate the factors of 76350 and 76367 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 76367

Prime factors of 76367 are 76367. Prime factorization of 76367 in exponential form is:

76367 = 76367¹

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 76367

List of positive integer factors of 76367 that divides 76350 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76350 and 76367. The biggest common factor number is the GCF number.
So the greatest common factor 76350 and 76367 is 1.

Also check out the Least Common Multiple of 76350 and 76367