What is the Greatest Common Factor of 48240 and 48256?

Greatest common factor (GCF) of 48240 and 48256 is 16.

GCF(48240,48256) = 16

We will now calculate the prime factors of 48240 and 48256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48240 and 48256.

How to find the GCF of 48240 and 48256?

We will first find the prime factorization of 48240 and 48256. After we will calculate the factors of 48240 and 48256 and find the biggest common factor number .

Step-1: Prime Factorization of 48240

Prime factors of 48240 are 2, 3, 5, 67. Prime factorization of 48240 in exponential form is:

48240 = 2⁴ × 3² × 5¹ × 67¹

Step-2: Prime Factorization of 48256

Prime factors of 48256 are 2, 13, 29. Prime factorization of 48256 in exponential form is:

48256 = 2⁷ × 13¹ × 29¹

Step-3: Factors of 48240

List of positive integer factors of 48240 that divides 48240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 67, 72, 80, 90, 120, 134, 144, 180, 201, 240, 268, 335, 360, 402, 536, 603, 670, 720, 804, 1005, 1072, 1206, 1340, 1608, 2010, 2412, 2680, 3015, 3216, 4020, 4824, 5360, 6030, 8040, 9648, 12060, 16080, 24120

Step-4: Factors of 48256

List of positive integer factors of 48256 that divides 48240 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 32, 52, 58, 64, 104, 116, 128, 208, 232, 377, 416, 464, 754, 832, 928, 1508, 1664, 1856, 3016, 3712, 6032, 12064, 24128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48240 and 48256. The biggest common factor number is the GCF number.
So the greatest common factor 48240 and 48256 is 16.

Also check out the Least Common Multiple of 48240 and 48256