What is the Greatest Common Factor of 76440 and 76449?

Greatest common factor (GCF) of 76440 and 76449 is 3.

GCF(76440,76449) = 3

We will now calculate the prime factors of 76440 and 76449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76440 and 76449.

How to find the GCF of 76440 and 76449?

We will first find the prime factorization of 76440 and 76449. After we will calculate the factors of 76440 and 76449 and find the biggest common factor number .

Step-1: Prime Factorization of 76440

Prime factors of 76440 are 2, 3, 5, 7, 13. Prime factorization of 76440 in exponential form is:

76440 = 2³ × 3¹ × 5¹ × 7² × 13¹

Step-2: Prime Factorization of 76449

Prime factors of 76449 are 3, 17, 1499. Prime factorization of 76449 in exponential form is:

76449 = 3¹ × 17¹ × 1499¹

Step-3: Factors of 76440

List of positive integer factors of 76440 that divides 76440 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 20, 21, 24, 26, 28, 30, 35, 39, 40, 42, 49, 52, 56, 60, 65, 70, 78, 84, 91, 98, 104, 105, 120, 130, 140, 147, 156, 168, 182, 195, 196, 210, 245, 260, 273, 280, 294, 312, 364, 390, 392, 420, 455, 490, 520, 546, 588, 637, 728, 735, 780, 840, 910, 980, 1092, 1176, 1274, 1365, 1470, 1560, 1820, 1911, 1960, 2184, 2548, 2730, 2940, 3185, 3640, 3822, 5096, 5460, 5880, 6370, 7644, 9555, 10920, 12740, 15288, 19110, 25480, 38220

Step-4: Factors of 76449

List of positive integer factors of 76449 that divides 76440 without a remainder.

1, 3, 17, 51, 1499, 4497, 25483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76440 and 76449. The biggest common factor number is the GCF number.
So the greatest common factor 76440 and 76449 is 3.

Also check out the Least Common Multiple of 76440 and 76449