What is the Greatest Common Factor of 72770 and 72789?

Greatest common factor (GCF) of 72770 and 72789 is 19.

GCF(72770,72789) = 19

We will now calculate the prime factors of 72770 and 72789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72770 and 72789.

How to find the GCF of 72770 and 72789?

We will first find the prime factorization of 72770 and 72789. After we will calculate the factors of 72770 and 72789 and find the biggest common factor number .

Step-1: Prime Factorization of 72770

Prime factors of 72770 are 2, 5, 19, 383. Prime factorization of 72770 in exponential form is:

72770 = 2¹ × 5¹ × 19¹ × 383¹

Step-2: Prime Factorization of 72789

Prime factors of 72789 are 3, 19, 1277. Prime factorization of 72789 in exponential form is:

72789 = 3¹ × 19¹ × 1277¹

Step-3: Factors of 72770

List of positive integer factors of 72770 that divides 72770 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 383, 766, 1915, 3830, 7277, 14554, 36385

Step-4: Factors of 72789

List of positive integer factors of 72789 that divides 72770 without a remainder.

1, 3, 19, 57, 1277, 3831, 24263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72770 and 72789. The biggest common factor number is the GCF number.
So the greatest common factor 72770 and 72789 is 19.

Also check out the Least Common Multiple of 72770 and 72789