What is the Greatest Common Factor of 76440 and 76445?

Greatest common factor (GCF) of 76440 and 76445 is 5.

GCF(76440,76445) = 5

We will now calculate the prime factors of 76440 and 76445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76440 and 76445.

How to find the GCF of 76440 and 76445?

We will first find the prime factorization of 76440 and 76445. After we will calculate the factors of 76440 and 76445 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 76445

Prime factors of 76445 are 5, 15289. Prime factorization of 76445 in exponential form is:

76445 = 5¹ × 15289¹

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 76445

List of positive integer factors of 76445 that divides 76440 without a remainder.

1, 5, 15289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76440 and 76445. The biggest common factor number is the GCF number.
So the greatest common factor 76440 and 76445 is 5.

Also check out the Least Common Multiple of 76440 and 76445