What is the Greatest Common Factor of 72769 and 72788?

Greatest common factor (GCF) of 72769 and 72788 is 1.

GCF(72769,72788) = 1

We will now calculate the prime factors of 72769 and 72788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72769 and 72788.

How to find the GCF of 72769 and 72788?

We will first find the prime factorization of 72769 and 72788. After we will calculate the factors of 72769 and 72788 and find the biggest common factor number .

Step-1: Prime Factorization of 72769

Prime factors of 72769 are 53, 1373. Prime factorization of 72769 in exponential form is:

72769 = 53¹ × 1373¹

Step-2: Prime Factorization of 72788

Prime factors of 72788 are 2, 31, 587. Prime factorization of 72788 in exponential form is:

72788 = 2² × 31¹ × 587¹

Step-3: Factors of 72769

List of positive integer factors of 72769 that divides 72769 without a remainder.

1, 53, 1373

Step-4: Factors of 72788

List of positive integer factors of 72788 that divides 72769 without a remainder.

1, 2, 4, 31, 62, 124, 587, 1174, 2348, 18197, 36394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72769 and 72788. The biggest common factor number is the GCF number.
So the greatest common factor 72769 and 72788 is 1.

Also check out the Least Common Multiple of 72769 and 72788