What is the Greatest Common Factor of 49907 and 49920?

Greatest common factor (GCF) of 49907 and 49920 is 13.

GCF(49907,49920) = 13

We will now calculate the prime factors of 49907 and 49920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49907 and 49920.

How to find the GCF of 49907 and 49920?

We will first find the prime factorization of 49907 and 49920. After we will calculate the factors of 49907 and 49920 and find the biggest common factor number .

Step-1: Prime Factorization of 49907

Prime factors of 49907 are 11, 13, 349. Prime factorization of 49907 in exponential form is:

49907 = 11¹ × 13¹ × 349¹

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 49907

List of positive integer factors of 49907 that divides 49907 without a remainder.

1, 11, 13, 143, 349, 3839, 4537

Step-4: Factors of 49920

List of positive integer factors of 49920 that divides 49907 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 49907 and 49920. The biggest common factor number is the GCF number.
So the greatest common factor 49907 and 49920 is 13.

Also check out the Least Common Multiple of 49907 and 49920