What is the Greatest Common Factor of 76440 and 76455?

Greatest common factor (GCF) of 76440 and 76455 is 15.

GCF(76440,76455) = 15

We will now calculate the prime factors of 76440 and 76455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76440 and 76455.

How to find the GCF of 76440 and 76455?

We will first find the prime factorization of 76440 and 76455. After we will calculate the factors of 76440 and 76455 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 76455

Prime factors of 76455 are 3, 5, 1699. Prime factorization of 76455 in exponential form is:

76455 = 3² × 5¹ × 1699¹

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 76455

List of positive integer factors of 76455 that divides 76440 without a remainder.

1, 3, 5, 9, 15, 45, 1699, 5097, 8495, 15291, 25485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76440 and 76455. The biggest common factor number is the GCF number.
So the greatest common factor 76440 and 76455 is 15.

Also check out the Least Common Multiple of 76440 and 76455