What is the Greatest Common Factor of 72929 and 72945?

Greatest common factor (GCF) of 72929 and 72945 is 1.

GCF(72929,72945) = 1

We will now calculate the prime factors of 72929 and 72945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72929 and 72945.

How to find the GCF of 72929 and 72945?

We will first find the prime factorization of 72929 and 72945. After we will calculate the factors of 72929 and 72945 and find the biggest common factor number .

Step-1: Prime Factorization of 72929

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

72929 = 233¹ × 313¹

Step-2: Prime Factorization of 72945

Prime factors of 72945 are 3, 5, 1621. Prime factorization of 72945 in exponential form is:

72945 = 3² × 5¹ × 1621¹

Step-3: Factors of 72929

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

1, 233, 313

Step-4: Factors of 72945

List of positive integer factors of 72945 that divides 72929 without a remainder.

1, 3, 5, 9, 15, 45, 1621, 4863, 8105, 14589, 24315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72929 and 72945. The biggest common factor number is the GCF number.
So the greatest common factor 72929 and 72945 is 1.

Also check out the Least Common Multiple of 72929 and 72945