What is the Greatest Common Factor of 49912 and 49920?

Greatest common factor (GCF) of 49912 and 49920 is 8.

GCF(49912,49920) = 8

We will now calculate the prime factors of 49912 and 49920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49912 and 49920.

How to find the GCF of 49912 and 49920?

We will first find the prime factorization of 49912 and 49920. After we will calculate the factors of 49912 and 49920 and find the biggest common factor number .

Step-1: Prime Factorization of 49912

Prime factors of 49912 are 2, 17, 367. Prime factorization of 49912 in exponential form is:

49912 = 2³ × 17¹ × 367¹

Step-2: Prime Factorization of 49920

Prime factors of 49920 are 2, 3, 5, 13. Prime factorization of 49920 in exponential form is:

49920 = 2⁸ × 3¹ × 5¹ × 13¹

Step-3: Factors of 49912

List of positive integer factors of 49912 that divides 49912 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 367, 734, 1468, 2936, 6239, 12478, 24956

Step-4: Factors of 49920

List of positive integer factors of 49920 that divides 49912 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 64, 65, 78, 80, 96, 104, 120, 128, 130, 156, 160, 192, 195, 208, 240, 256, 260, 312, 320, 384, 390, 416, 480, 520, 624, 640, 768, 780, 832, 960, 1040, 1248, 1280, 1560, 1664, 1920, 2080, 2496, 3120, 3328, 3840, 4160, 4992, 6240, 8320, 9984, 12480, 16640, 24960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49912 and 49920. The biggest common factor number is the GCF number.
So the greatest common factor 49912 and 49920 is 8.

Also check out the Least Common Multiple of 49912 and 49920