What is the Greatest Common Factor of 79449 and 79464?

Greatest common factor (GCF) of 79449 and 79464 is 3.

GCF(79449,79464) = 3

We will now calculate the prime factors of 79449 and 79464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79449 and 79464.

How to find the GCF of 79449 and 79464?

We will first find the prime factorization of 79449 and 79464. After we will calculate the factors of 79449 and 79464 and find the biggest common factor number .

Step-1: Prime Factorization of 79449

Prime factors of 79449 are 3, 71, 373. Prime factorization of 79449 in exponential form is:

79449 = 3¹ × 71¹ × 373¹

Step-2: Prime Factorization of 79464

Prime factors of 79464 are 2, 3, 7, 11, 43. Prime factorization of 79464 in exponential form is:

79464 = 2³ × 3¹ × 7¹ × 11¹ × 43¹

Step-3: Factors of 79449

List of positive integer factors of 79449 that divides 79449 without a remainder.

1, 3, 71, 213, 373, 1119, 26483

Step-4: Factors of 79464

List of positive integer factors of 79464 that divides 79449 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 43, 44, 56, 66, 77, 84, 86, 88, 129, 132, 154, 168, 172, 231, 258, 264, 301, 308, 344, 462, 473, 516, 602, 616, 903, 924, 946, 1032, 1204, 1419, 1806, 1848, 1892, 2408, 2838, 3311, 3612, 3784, 5676, 6622, 7224, 9933, 11352, 13244, 19866, 26488, 39732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79449 and 79464. The biggest common factor number is the GCF number.
So the greatest common factor 79449 and 79464 is 3.

Also check out the Least Common Multiple of 79449 and 79464