What is the Greatest Common Factor of 72925 and 72929?

Greatest common factor (GCF) of 72925 and 72929 is 1.

GCF(72925,72929) = 1

We will now calculate the prime factors of 72925 and 72929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72925 and 72929.

How to find the GCF of 72925 and 72929?

We will first find the prime factorization of 72925 and 72929. After we will calculate the factors of 72925 and 72929 and find the biggest common factor number .

Step-1: Prime Factorization of 72925

Prime factors of 72925 are 5, 2917. Prime factorization of 72925 in exponential form is:

72925 = 5² × 2917¹

Step-2: Prime Factorization of 72929

Prime factors of 72929 are 233, 313. Prime factorization of 72929 in exponential form is:

72929 = 233¹ × 313¹

Step-3: Factors of 72925

List of positive integer factors of 72925 that divides 72925 without a remainder.

1, 5, 25, 2917, 14585

Step-4: Factors of 72929

List of positive integer factors of 72929 that divides 72925 without a remainder.

1, 233, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72925 and 72929. The biggest common factor number is the GCF number.
So the greatest common factor 72925 and 72929 is 1.

Also check out the Least Common Multiple of 72925 and 72929