What is the Greatest Common Factor of 74874 and 74880?

Greatest common factor (GCF) of 74874 and 74880 is 6.

GCF(74874,74880) = 6

We will now calculate the prime factors of 74874 and 74880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74874 and 74880.

How to find the GCF of 74874 and 74880?

We will first find the prime factorization of 74874 and 74880. After we will calculate the factors of 74874 and 74880 and find the biggest common factor number .

Step-1: Prime Factorization of 74874

Prime factors of 74874 are 2, 3, 12479. Prime factorization of 74874 in exponential form is:

74874 = 2¹ × 3¹ × 12479¹

Step-2: 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-3: Factors of 74874

List of positive integer factors of 74874 that divides 74874 without a remainder.

1, 2, 3, 6, 12479, 24958, 37437

Step-4: Factors of 74880

List of positive integer factors of 74880 that divides 74874 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74874 and 74880. The biggest common factor number is the GCF number.
So the greatest common factor 74874 and 74880 is 6.

Also check out the Least Common Multiple of 74874 and 74880