What is the Greatest Common Factor of 74880 and 74885?

Greatest common factor (GCF) of 74880 and 74885 is 5.

GCF(74880,74885) = 5

We will now calculate the prime factors of 74880 and 74885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74880 and 74885.

How to find the GCF of 74880 and 74885?

We will first find the prime factorization of 74880 and 74885. After we will calculate the factors of 74880 and 74885 and find the biggest common factor number .

Step-1: Prime Factorization of 74880

Prime factors of 74880 are 2, 3, 5, 13. Prime factorization of 74880 in exponential form is:

74880 = 2⁷ × 3² × 5¹ × 13¹

Step-2: Prime Factorization of 74885

Prime factors of 74885 are 5, 17, 881. Prime factorization of 74885 in exponential form is:

74885 = 5¹ × 17¹ × 881¹

Step-3: Factors of 74880

List of positive integer factors of 74880 that divides 74880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 32, 36, 39, 40, 45, 48, 52, 60, 64, 65, 72, 78, 80, 90, 96, 104, 117, 120, 128, 130, 144, 156, 160, 180, 192, 195, 208, 234, 240, 260, 288, 312, 320, 360, 384, 390, 416, 468, 480, 520, 576, 585, 624, 640, 720, 780, 832, 936, 960, 1040, 1152, 1170, 1248, 1440, 1560, 1664, 1872, 1920, 2080, 2340, 2496, 2880, 3120, 3744, 4160, 4680, 4992, 5760, 6240, 7488, 8320, 9360, 12480, 14976, 18720, 24960, 37440

Step-4: Factors of 74885

List of positive integer factors of 74885 that divides 74880 without a remainder.

1, 5, 17, 85, 881, 4405, 14977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74880 and 74885. The biggest common factor number is the GCF number.
So the greatest common factor 74880 and 74885 is 5.

Also check out the Least Common Multiple of 74880 and 74885