What is the Greatest Common Factor of 57880 and 57888?

Greatest common factor (GCF) of 57880 and 57888 is 8.

GCF(57880,57888) = 8

We will now calculate the prime factors of 57880 and 57888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57880 and 57888.

How to find the GCF of 57880 and 57888?

We will first find the prime factorization of 57880 and 57888. After we will calculate the factors of 57880 and 57888 and find the biggest common factor number .

Step-1: Prime Factorization of 57880

Prime factors of 57880 are 2, 5, 1447. Prime factorization of 57880 in exponential form is:

57880 = 2³ × 5¹ × 1447¹

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 57880

List of positive integer factors of 57880 that divides 57880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1447, 2894, 5788, 7235, 11576, 14470, 28940

Step-4: Factors of 57888

List of positive integer factors of 57888 that divides 57880 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 57880 and 57888. The biggest common factor number is the GCF number.
So the greatest common factor 57880 and 57888 is 8.

Also check out the Least Common Multiple of 57880 and 57888