What is the Greatest Common Factor of 76425 and 76440?

Greatest common factor (GCF) of 76425 and 76440 is 15.

GCF(76425,76440) = 15

We will now calculate the prime factors of 76425 and 76440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76425 and 76440.

How to find the GCF of 76425 and 76440?

We will first find the prime factorization of 76425 and 76440. After we will calculate the factors of 76425 and 76440 and find the biggest common factor number .

Step-1: Prime Factorization of 76425

Prime factors of 76425 are 3, 5, 1019. Prime factorization of 76425 in exponential form is:

76425 = 3¹ × 5² × 1019¹

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 76425

List of positive integer factors of 76425 that divides 76425 without a remainder.

1, 3, 5, 15, 25, 75, 1019, 3057, 5095, 15285, 25475

Step-4: Factors of 76440

List of positive integer factors of 76440 that divides 76425 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 76425 and 76440. The biggest common factor number is the GCF number.
So the greatest common factor 76425 and 76440 is 15.

Also check out the Least Common Multiple of 76425 and 76440