What is the Greatest Common Factor of 74872 and 74880?

Greatest common factor (GCF) of 74872 and 74880 is 8.

GCF(74872,74880) = 8

We will now calculate the prime factors of 74872 and 74880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74872 and 74880.

How to find the GCF of 74872 and 74880?

We will first find the prime factorization of 74872 and 74880. After we will calculate the factors of 74872 and 74880 and find the biggest common factor number .

Step-1: Prime Factorization of 74872

Prime factors of 74872 are 2, 7, 191. Prime factorization of 74872 in exponential form is:

74872 = 2³ × 7² × 191¹

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 74872

List of positive integer factors of 74872 that divides 74872 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 191, 196, 382, 392, 764, 1337, 1528, 2674, 5348, 9359, 10696, 18718, 37436

Step-4: Factors of 74880

List of positive integer factors of 74880 that divides 74872 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 74872 and 74880. The biggest common factor number is the GCF number.
So the greatest common factor 74872 and 74880 is 8.

Also check out the Least Common Multiple of 74872 and 74880