What is the Greatest Common Factor of 72795 and 72803?

Greatest common factor (GCF) of 72795 and 72803 is 1.

GCF(72795,72803) = 1

We will now calculate the prime factors of 72795 and 72803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72795 and 72803.

How to find the GCF of 72795 and 72803?

We will first find the prime factorization of 72795 and 72803. After we will calculate the factors of 72795 and 72803 and find the biggest common factor number .

Step-1: Prime Factorization of 72795

Prime factors of 72795 are 3, 5, 23, 211. Prime factorization of 72795 in exponential form is:

72795 = 3¹ × 5¹ × 23¹ × 211¹

Step-2: Prime Factorization of 72803

Prime factors of 72803 are 47, 1549. Prime factorization of 72803 in exponential form is:

72803 = 47¹ × 1549¹

Step-3: Factors of 72795

List of positive integer factors of 72795 that divides 72795 without a remainder.

1, 3, 5, 15, 23, 69, 115, 211, 345, 633, 1055, 3165, 4853, 14559, 24265

Step-4: Factors of 72803

List of positive integer factors of 72803 that divides 72795 without a remainder.

1, 47, 1549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72795 and 72803. The biggest common factor number is the GCF number.
So the greatest common factor 72795 and 72803 is 1.

Also check out the Least Common Multiple of 72795 and 72803