What is the Greatest Common Factor of 49920 and 49928?

Greatest common factor (GCF) of 49920 and 49928 is 8.

GCF(49920,49928) = 8

We will now calculate the prime factors of 49920 and 49928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49920 and 49928.

How to find the GCF of 49920 and 49928?

We will first find the prime factorization of 49920 and 49928. After we will calculate the factors of 49920 and 49928 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 49928

Prime factors of 49928 are 2, 79. Prime factorization of 49928 in exponential form is:

49928 = 2³ × 79²

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 49928

List of positive integer factors of 49928 that divides 49920 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632, 6241, 12482, 24964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49920 and 49928. The biggest common factor number is the GCF number.
So the greatest common factor 49920 and 49928 is 8.

Also check out the Least Common Multiple of 49920 and 49928