What is the Greatest Common Factor of 74880 and 74892?

Greatest common factor (GCF) of 74880 and 74892 is 12.

GCF(74880,74892) = 12

We will now calculate the prime factors of 74880 and 74892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74880 and 74892.

How to find the GCF of 74880 and 74892?

We will first find the prime factorization of 74880 and 74892. After we will calculate the factors of 74880 and 74892 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 74892

Prime factors of 74892 are 2, 3, 79. Prime factorization of 74892 in exponential form is:

74892 = 2² × 3¹ × 79²

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 74892

List of positive integer factors of 74892 that divides 74880 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948, 6241, 12482, 18723, 24964, 37446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74880 and 74892. The biggest common factor number is the GCF number.
So the greatest common factor 74880 and 74892 is 12.

Also check out the Least Common Multiple of 74880 and 74892