What is the Greatest Common Factor of 49920 and 49932?

Greatest common factor (GCF) of 49920 and 49932 is 12.

GCF(49920,49932) = 12

We will now calculate the prime factors of 49920 and 49932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49920 and 49932.

How to find the GCF of 49920 and 49932?

We will first find the prime factorization of 49920 and 49932. After we will calculate the factors of 49920 and 49932 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 49932

Prime factors of 49932 are 2, 3, 19, 73. Prime factorization of 49932 in exponential form is:

49932 = 2² × 3² × 19¹ × 73¹

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 49932

List of positive integer factors of 49932 that divides 49920 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 73, 76, 114, 146, 171, 219, 228, 292, 342, 438, 657, 684, 876, 1314, 1387, 2628, 2774, 4161, 5548, 8322, 12483, 16644, 24966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49920 and 49932. The biggest common factor number is the GCF number.
So the greatest common factor 49920 and 49932 is 12.

Also check out the Least Common Multiple of 49920 and 49932