What is the Greatest Common Factor of 72031 and 72035?

Greatest common factor (GCF) of 72031 and 72035 is 1.

GCF(72031,72035) = 1

We will now calculate the prime factors of 72031 and 72035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72031 and 72035.

How to find the GCF of 72031 and 72035?

We will first find the prime factorization of 72031 and 72035. After we will calculate the factors of 72031 and 72035 and find the biggest common factor number .

Step-1: Prime Factorization of 72031

Prime factors of 72031 are 72031. Prime factorization of 72031 in exponential form is:

72031 = 72031¹

Step-2: Prime Factorization of 72035

Prime factors of 72035 are 5, 14407. Prime factorization of 72035 in exponential form is:

72035 = 5¹ × 14407¹

Step-3: Factors of 72031

List of positive integer factors of 72031 that divides 72031 without a remainder.

Step-4: Factors of 72035

List of positive integer factors of 72035 that divides 72031 without a remainder.

1, 5, 14407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72031 and 72035. The biggest common factor number is the GCF number.
So the greatest common factor 72031 and 72035 is 1.

Also check out the Least Common Multiple of 72031 and 72035