What is the Greatest Common Factor of 72849 and 72863?

Greatest common factor (GCF) of 72849 and 72863 is 7.

GCF(72849,72863) = 7

We will now calculate the prime factors of 72849 and 72863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72849 and 72863.

How to find the GCF of 72849 and 72863?

We will first find the prime factorization of 72849 and 72863. After we will calculate the factors of 72849 and 72863 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 72863

Prime factors of 72863 are 7, 1487. Prime factorization of 72863 in exponential form is:

72863 = 7² × 1487¹

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 72863

List of positive integer factors of 72863 that divides 72849 without a remainder.

1, 7, 49, 1487, 10409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72849 and 72863. The biggest common factor number is the GCF number.
So the greatest common factor 72849 and 72863 is 7.

Also check out the Least Common Multiple of 72849 and 72863