What is the Greatest Common Factor of 48256 and 48272?

Greatest common factor (GCF) of 48256 and 48272 is 16.

GCF(48256,48272) = 16

We will now calculate the prime factors of 48256 and 48272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48256 and 48272.

How to find the GCF of 48256 and 48272?

We will first find the prime factorization of 48256 and 48272. After we will calculate the factors of 48256 and 48272 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48272

Prime factors of 48272 are 2, 7, 431. Prime factorization of 48272 in exponential form is:

48272 = 2⁴ × 7¹ × 431¹

Step-3: Factors of 48256

List of positive integer factors of 48256 that divides 48256 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

Step-4: Factors of 48272

List of positive integer factors of 48272 that divides 48256 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 431, 862, 1724, 3017, 3448, 6034, 6896, 12068, 24136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48256 and 48272. The biggest common factor number is the GCF number.
So the greatest common factor 48256 and 48272 is 16.

Also check out the Least Common Multiple of 48256 and 48272