What is the Greatest Common Factor of 73068 and 73075?

Greatest common factor (GCF) of 73068 and 73075 is 1.

GCF(73068,73075) = 1

We will now calculate the prime factors of 73068 and 73075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73068 and 73075.

How to find the GCF of 73068 and 73075?

We will first find the prime factorization of 73068 and 73075. After we will calculate the factors of 73068 and 73075 and find the biggest common factor number .

Step-1: Prime Factorization of 73068

Prime factors of 73068 are 2, 3, 6089. Prime factorization of 73068 in exponential form is:

73068 = 2² × 3¹ × 6089¹

Step-2: 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-3: Factors of 73068

List of positive integer factors of 73068 that divides 73068 without a remainder.

1, 2, 3, 4, 6, 12, 6089, 12178, 18267, 24356, 36534

Step-4: Factors of 73075

List of positive integer factors of 73075 that divides 73068 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73068 and 73075. The biggest common factor number is the GCF number.
So the greatest common factor 73068 and 73075 is 1.

Also check out the Least Common Multiple of 73068 and 73075