What is the Greatest Common Factor of 79233 and 79240?

Greatest common factor (GCF) of 79233 and 79240 is 7.

GCF(79233,79240) = 7

We will now calculate the prime factors of 79233 and 79240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79233 and 79240.

How to find the GCF of 79233 and 79240?

We will first find the prime factorization of 79233 and 79240. After we will calculate the factors of 79233 and 79240 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 79240

Prime factors of 79240 are 2, 5, 7, 283. Prime factorization of 79240 in exponential form is:

79240 = 2³ × 5¹ × 7¹ × 283¹

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 79240

List of positive integer factors of 79240 that divides 79233 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 283, 566, 1132, 1415, 1981, 2264, 2830, 3962, 5660, 7924, 9905, 11320, 15848, 19810, 39620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79233 and 79240. The biggest common factor number is the GCF number.
So the greatest common factor 79233 and 79240 is 7.

Also check out the Least Common Multiple of 79233 and 79240