What is the Greatest Common Factor of 79464 and 79473?

Greatest common factor (GCF) of 79464 and 79473 is 3.

GCF(79464,79473) = 3

We will now calculate the prime factors of 79464 and 79473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79464 and 79473.

How to find the GCF of 79464 and 79473?

We will first find the prime factorization of 79464 and 79473. After we will calculate the factors of 79464 and 79473 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79473

Prime factors of 79473 are 3, 59, 449. Prime factorization of 79473 in exponential form is:

79473 = 3¹ × 59¹ × 449¹

Step-3: Factors of 79464

List of positive integer factors of 79464 that divides 79464 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

Step-4: Factors of 79473

List of positive integer factors of 79473 that divides 79464 without a remainder.

1, 3, 59, 177, 449, 1347, 26491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79464 and 79473. The biggest common factor number is the GCF number.
So the greatest common factor 79464 and 79473 is 3.

Also check out the Least Common Multiple of 79464 and 79473