What is the Greatest Common Factor of 76440 and 76451?

Greatest common factor (GCF) of 76440 and 76451 is 1.

GCF(76440,76451) = 1

We will now calculate the prime factors of 76440 and 76451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76440 and 76451.

How to find the GCF of 76440 and 76451?

We will first find the prime factorization of 76440 and 76451. After we will calculate the factors of 76440 and 76451 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 76451

Prime factors of 76451 are 89, 859. Prime factorization of 76451 in exponential form is:

76451 = 89¹ × 859¹

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 76451

List of positive integer factors of 76451 that divides 76440 without a remainder.

1, 89, 859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76440 and 76451. The biggest common factor number is the GCF number.
So the greatest common factor 76440 and 76451 is 1.

Also check out the Least Common Multiple of 76440 and 76451