What is the Greatest Common Factor of 79233 and 79239?

Greatest common factor (GCF) of 79233 and 79239 is 3.

GCF(79233,79239) = 3

We will now calculate the prime factors of 79233 and 79239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79233 and 79239.

How to find the GCF of 79233 and 79239?

We will first find the prime factorization of 79233 and 79239. After we will calculate the factors of 79233 and 79239 and find the biggest common factor number .

Step-1: Prime Factorization of 79233

Prime factors of 79233 are 3, 7, 11. Prime factorization of 79233 in exponential form is:

79233 = 3¹ × 7⁴ × 11¹

Step-2: Prime Factorization of 79239

Prime factors of 79239 are 3, 61, 433. Prime factorization of 79239 in exponential form is:

79239 = 3¹ × 61¹ × 433¹

Step-3: Factors of 79233

List of positive integer factors of 79233 that divides 79233 without a remainder.

1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 343, 539, 1029, 1617, 2401, 3773, 7203, 11319, 26411

Step-4: Factors of 79239

List of positive integer factors of 79239 that divides 79233 without a remainder.

1, 3, 61, 183, 433, 1299, 26413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79233 and 79239. The biggest common factor number is the GCF number.
So the greatest common factor 79233 and 79239 is 3.

Also check out the Least Common Multiple of 79233 and 79239