What is the Greatest Common Factor of 76430 and 76440?

Greatest common factor (GCF) of 76430 and 76440 is 10.

GCF(76430,76440) = 10

We will now calculate the prime factors of 76430 and 76440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76430 and 76440.

How to find the GCF of 76430 and 76440?

We will first find the prime factorization of 76430 and 76440. After we will calculate the factors of 76430 and 76440 and find the biggest common factor number .

Step-1: Prime Factorization of 76430

Prime factors of 76430 are 2, 5, 7643. Prime factorization of 76430 in exponential form is:

76430 = 2¹ × 5¹ × 7643¹

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 76430

List of positive integer factors of 76430 that divides 76430 without a remainder.

1, 2, 5, 10, 7643, 15286, 38215

Step-4: Factors of 76440

List of positive integer factors of 76440 that divides 76430 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 76430 and 76440. The biggest common factor number is the GCF number.
So the greatest common factor 76430 and 76440 is 10.

Also check out the Least Common Multiple of 76430 and 76440