What is the Greatest Common Factor of 76440 and 76454?

Greatest common factor (GCF) of 76440 and 76454 is 14.

GCF(76440,76454) = 14

We will now calculate the prime factors of 76440 and 76454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76440 and 76454.

How to find the GCF of 76440 and 76454?

We will first find the prime factorization of 76440 and 76454. After we will calculate the factors of 76440 and 76454 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 76454

Prime factors of 76454 are 2, 7, 43, 127. Prime factorization of 76454 in exponential form is:

76454 = 2¹ × 7¹ × 43¹ × 127¹

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 76454

List of positive integer factors of 76454 that divides 76440 without a remainder.

1, 2, 7, 14, 43, 86, 127, 254, 301, 602, 889, 1778, 5461, 10922, 38227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76440 and 76454. The biggest common factor number is the GCF number.
So the greatest common factor 76440 and 76454 is 14.

Also check out the Least Common Multiple of 76440 and 76454