What is the Greatest Common Factor of 72779 and 72793?

Greatest common factor (GCF) of 72779 and 72793 is 7.

GCF(72779,72793) = 7

We will now calculate the prime factors of 72779 and 72793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72779 and 72793.

How to find the GCF of 72779 and 72793?

We will first find the prime factorization of 72779 and 72793. After we will calculate the factors of 72779 and 72793 and find the biggest common factor number .

Step-1: Prime Factorization of 72779

Prime factors of 72779 are 7, 37, 281. Prime factorization of 72779 in exponential form is:

72779 = 7¹ × 37¹ × 281¹

Step-2: Prime Factorization of 72793

Prime factors of 72793 are 7, 10399. Prime factorization of 72793 in exponential form is:

72793 = 7¹ × 10399¹

Step-3: Factors of 72779

List of positive integer factors of 72779 that divides 72779 without a remainder.

1, 7, 37, 259, 281, 1967, 10397

Step-4: Factors of 72793

List of positive integer factors of 72793 that divides 72779 without a remainder.

1, 7, 10399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72779 and 72793. The biggest common factor number is the GCF number.
So the greatest common factor 72779 and 72793 is 7.

Also check out the Least Common Multiple of 72779 and 72793