What is the Greatest Common Factor of 48272 and 48288?

Greatest common factor (GCF) of 48272 and 48288 is 16.

GCF(48272,48288) = 16

We will now calculate the prime factors of 48272 and 48288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48272 and 48288.

How to find the GCF of 48272 and 48288?

We will first find the prime factorization of 48272 and 48288. After we will calculate the factors of 48272 and 48288 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48288

Prime factors of 48288 are 2, 3, 503. Prime factorization of 48288 in exponential form is:

48288 = 2⁵ × 3¹ × 503¹

Step-3: Factors of 48272

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

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

Step-4: Factors of 48288

List of positive integer factors of 48288 that divides 48272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 503, 1006, 1509, 2012, 3018, 4024, 6036, 8048, 12072, 16096, 24144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48272 and 48288. The biggest common factor number is the GCF number.
So the greatest common factor 48272 and 48288 is 16.

Also check out the Least Common Multiple of 48272 and 48288