What is the Greatest Common Factor of 72929 and 72947?

Greatest common factor (GCF) of 72929 and 72947 is 1.

GCF(72929,72947) = 1

We will now calculate the prime factors of 72929 and 72947, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72929 and 72947.

How to find the GCF of 72929 and 72947?

We will first find the prime factorization of 72929 and 72947. After we will calculate the factors of 72929 and 72947 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 72947

Prime factors of 72947 are 7, 17, 613. Prime factorization of 72947 in exponential form is:

72947 = 7¹ × 17¹ × 613¹

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 72947

List of positive integer factors of 72947 that divides 72929 without a remainder.

1, 7, 17, 119, 613, 4291, 10421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72929 and 72947. The biggest common factor number is the GCF number.
So the greatest common factor 72929 and 72947 is 1.

Also check out the Least Common Multiple of 72929 and 72947