What is the Greatest Common Factor of 49920 and 49934?

Greatest common factor (GCF) of 49920 and 49934 is 2.

GCF(49920,49934) = 2

We will now calculate the prime factors of 49920 and 49934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49920 and 49934.

How to find the GCF of 49920 and 49934?

We will first find the prime factorization of 49920 and 49934. After we will calculate the factors of 49920 and 49934 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 49934

Prime factors of 49934 are 2, 24967. Prime factorization of 49934 in exponential form is:

49934 = 2¹ × 24967¹

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 49934

List of positive integer factors of 49934 that divides 49920 without a remainder.

1, 2, 24967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49920 and 49934. The biggest common factor number is the GCF number.
So the greatest common factor 49920 and 49934 is 2.

Also check out the Least Common Multiple of 49920 and 49934