What is the Greatest Common Factor of 75300 and 75319?

Greatest common factor (GCF) of 75300 and 75319 is 1.

GCF(75300,75319) = 1

We will now calculate the prime factors of 75300 and 75319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75300 and 75319.

How to find the GCF of 75300 and 75319?

We will first find the prime factorization of 75300 and 75319. After we will calculate the factors of 75300 and 75319 and find the biggest common factor number .

Step-1: Prime Factorization of 75300

Prime factors of 75300 are 2, 3, 5, 251. Prime factorization of 75300 in exponential form is:

75300 = 2² × 3¹ × 5² × 251¹

Step-2: Prime Factorization of 75319

Prime factors of 75319 are 109, 691. Prime factorization of 75319 in exponential form is:

75319 = 109¹ × 691¹

Step-3: Factors of 75300

List of positive integer factors of 75300 that divides 75300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 251, 300, 502, 753, 1004, 1255, 1506, 2510, 3012, 3765, 5020, 6275, 7530, 12550, 15060, 18825, 25100, 37650

Step-4: Factors of 75319

List of positive integer factors of 75319 that divides 75300 without a remainder.

1, 109, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75300 and 75319. The biggest common factor number is the GCF number.
So the greatest common factor 75300 and 75319 is 1.

Also check out the Least Common Multiple of 75300 and 75319