What is the Greatest Common Factor of 75279 and 75299?

Greatest common factor (GCF) of 75279 and 75299 is 1.

GCF(75279,75299) = 1

We will now calculate the prime factors of 75279 and 75299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75279 and 75299.

How to find the GCF of 75279 and 75299?

We will first find the prime factorization of 75279 and 75299. After we will calculate the factors of 75279 and 75299 and find the biggest common factor number .

Step-1: Prime Factorization of 75279

Prime factors of 75279 are 3, 23, 1091. Prime factorization of 75279 in exponential form is:

75279 = 3¹ × 23¹ × 1091¹

Step-2: Prime Factorization of 75299

Prime factors of 75299 are 7, 31, 347. Prime factorization of 75299 in exponential form is:

75299 = 7¹ × 31¹ × 347¹

Step-3: Factors of 75279

List of positive integer factors of 75279 that divides 75279 without a remainder.

1, 3, 23, 69, 1091, 3273, 25093

Step-4: Factors of 75299

List of positive integer factors of 75299 that divides 75279 without a remainder.

1, 7, 31, 217, 347, 2429, 10757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75279 and 75299. The biggest common factor number is the GCF number.
So the greatest common factor 75279 and 75299 is 1.

Also check out the Least Common Multiple of 75279 and 75299