What is the Greatest Common Factor of 49920 and 49940?

Greatest common factor (GCF) of 49920 and 49940 is 20.

GCF(49920,49940) = 20

We will now calculate the prime factors of 49920 and 49940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49920 and 49940.

How to find the GCF of 49920 and 49940?

We will first find the prime factorization of 49920 and 49940. After we will calculate the factors of 49920 and 49940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49940

Prime factors of 49940 are 2, 5, 11, 227. Prime factorization of 49940 in exponential form is:

49940 = 2² × 5¹ × 11¹ × 227¹

Step-3: Factors of 49920

List of positive integer factors of 49920 that divides 49920 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

Step-4: Factors of 49940

List of positive integer factors of 49940 that divides 49920 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 227, 454, 908, 1135, 2270, 2497, 4540, 4994, 9988, 12485, 24970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49920 and 49940. The biggest common factor number is the GCF number.
So the greatest common factor 49920 and 49940 is 20.

Also check out the Least Common Multiple of 49920 and 49940