What is the Greatest Common Factor of 73075 and 73079?

Greatest common factor (GCF) of 73075 and 73079 is 1.

GCF(73075,73079) = 1

We will now calculate the prime factors of 73075 and 73079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73075 and 73079.

How to find the GCF of 73075 and 73079?

We will first find the prime factorization of 73075 and 73079. After we will calculate the factors of 73075 and 73079 and find the biggest common factor number .

Step-1: Prime Factorization of 73075

Prime factors of 73075 are 5, 37, 79. Prime factorization of 73075 in exponential form is:

73075 = 5² × 37¹ × 79¹

Step-2: Prime Factorization of 73079

Prime factors of 73079 are 73079. Prime factorization of 73079 in exponential form is:

73079 = 73079¹

Step-3: Factors of 73075

List of positive integer factors of 73075 that divides 73075 without a remainder.

1, 5, 25, 37, 79, 185, 395, 925, 1975, 2923, 14615

Step-4: Factors of 73079

List of positive integer factors of 73079 that divides 73075 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73075 and 73079. The biggest common factor number is the GCF number.
So the greatest common factor 73075 and 73079 is 1.

Also check out the Least Common Multiple of 73075 and 73079