What is the Greatest Common Factor of 72849 and 72869?

Greatest common factor (GCF) of 72849 and 72869 is 1.

GCF(72849,72869) = 1

We will now calculate the prime factors of 72849 and 72869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72849 and 72869.

How to find the GCF of 72849 and 72869?

We will first find the prime factorization of 72849 and 72869. After we will calculate the factors of 72849 and 72869 and find the biggest common factor number .

Step-1: Prime Factorization of 72849

Prime factors of 72849 are 3, 7, 3469. Prime factorization of 72849 in exponential form is:

72849 = 3¹ × 7¹ × 3469¹

Step-2: Prime Factorization of 72869

Prime factors of 72869 are 72869. Prime factorization of 72869 in exponential form is:

72869 = 72869¹

Step-3: Factors of 72849

List of positive integer factors of 72849 that divides 72849 without a remainder.

1, 3, 7, 21, 3469, 10407, 24283

Step-4: Factors of 72869

List of positive integer factors of 72869 that divides 72849 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72849 and 72869. The biggest common factor number is the GCF number.
So the greatest common factor 72849 and 72869 is 1.

Also check out the Least Common Multiple of 72849 and 72869