What is the Greatest Common Factor of 57872 and 57888?

Greatest common factor (GCF) of 57872 and 57888 is 16.

GCF(57872,57888) = 16

We will now calculate the prime factors of 57872 and 57888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57872 and 57888.

How to find the GCF of 57872 and 57888?

We will first find the prime factorization of 57872 and 57888. After we will calculate the factors of 57872 and 57888 and find the biggest common factor number .

Step-1: Prime Factorization of 57872

Prime factors of 57872 are 2, 3617. Prime factorization of 57872 in exponential form is:

57872 = 2⁴ × 3617¹

Step-2: Prime Factorization of 57888

Prime factors of 57888 are 2, 3, 67. Prime factorization of 57888 in exponential form is:

57888 = 2⁵ × 3³ × 67¹

Step-3: Factors of 57872

List of positive integer factors of 57872 that divides 57872 without a remainder.

1, 2, 4, 8, 16, 3617, 7234, 14468, 28936

Step-4: Factors of 57888

List of positive integer factors of 57888 that divides 57872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 67, 72, 96, 108, 134, 144, 201, 216, 268, 288, 402, 432, 536, 603, 804, 864, 1072, 1206, 1608, 1809, 2144, 2412, 3216, 3618, 4824, 6432, 7236, 9648, 14472, 19296, 28944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57872 and 57888. The biggest common factor number is the GCF number.
So the greatest common factor 57872 and 57888 is 16.

Also check out the Least Common Multiple of 57872 and 57888