What is the Greatest Common Factor of 49920 and 49936?

Greatest common factor (GCF) of 49920 and 49936 is 16.

GCF(49920,49936) = 16

We will now calculate the prime factors of 49920 and 49936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49920 and 49936.

How to find the GCF of 49920 and 49936?

We will first find the prime factorization of 49920 and 49936. After we will calculate the factors of 49920 and 49936 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 49936

Prime factors of 49936 are 2, 3121. Prime factorization of 49936 in exponential form is:

49936 = 2⁴ × 3121¹

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 49936

List of positive integer factors of 49936 that divides 49920 without a remainder.

1, 2, 4, 8, 16, 3121, 6242, 12484, 24968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49920 and 49936. The biggest common factor number is the GCF number.
So the greatest common factor 49920 and 49936 is 16.

Also check out the Least Common Multiple of 49920 and 49936