What is the Greatest Common Factor of 76427 and 76440?

Greatest common factor (GCF) of 76427 and 76440 is 13.

GCF(76427,76440) = 13

We will now calculate the prime factors of 76427 and 76440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76427 and 76440.

How to find the GCF of 76427 and 76440?

We will first find the prime factorization of 76427 and 76440. After we will calculate the factors of 76427 and 76440 and find the biggest common factor number .

Step-1: Prime Factorization of 76427

Prime factors of 76427 are 13, 5879. Prime factorization of 76427 in exponential form is:

76427 = 13¹ × 5879¹

Step-2: 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-3: Factors of 76427

List of positive integer factors of 76427 that divides 76427 without a remainder.

1, 13, 5879

Step-4: Factors of 76440

List of positive integer factors of 76440 that divides 76427 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76427 and 76440. The biggest common factor number is the GCF number.
So the greatest common factor 76427 and 76440 is 13.

Also check out the Least Common Multiple of 76427 and 76440