What is the Greatest Common Factor of 76426 and 76440?

Greatest common factor (GCF) of 76426 and 76440 is 14.

GCF(76426,76440) = 14

We will now calculate the prime factors of 76426 and 76440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76426 and 76440.

How to find the GCF of 76426 and 76440?

We will first find the prime factorization of 76426 and 76440. After we will calculate the factors of 76426 and 76440 and find the biggest common factor number .

Step-1: Prime Factorization of 76426

Prime factors of 76426 are 2, 7, 53, 103. Prime factorization of 76426 in exponential form is:

76426 = 2¹ × 7¹ × 53¹ × 103¹

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 76426

List of positive integer factors of 76426 that divides 76426 without a remainder.

1, 2, 7, 14, 53, 103, 106, 206, 371, 721, 742, 1442, 5459, 10918, 38213

Step-4: Factors of 76440

List of positive integer factors of 76440 that divides 76426 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 76426 and 76440. The biggest common factor number is the GCF number.
So the greatest common factor 76426 and 76440 is 14.

Also check out the Least Common Multiple of 76426 and 76440