What is the Greatest Common Factor of 57876 and 57888?

Greatest common factor (GCF) of 57876 and 57888 is 12.

GCF(57876,57888) = 12

We will now calculate the prime factors of 57876 and 57888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57876 and 57888.

How to find the GCF of 57876 and 57888?

We will first find the prime factorization of 57876 and 57888. After we will calculate the factors of 57876 and 57888 and find the biggest common factor number .

Step-1: Prime Factorization of 57876

Prime factors of 57876 are 2, 3, 7, 13, 53. Prime factorization of 57876 in exponential form is:

57876 = 2² × 3¹ × 7¹ × 13¹ × 53¹

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 57876

List of positive integer factors of 57876 that divides 57876 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 53, 78, 84, 91, 106, 156, 159, 182, 212, 273, 318, 364, 371, 546, 636, 689, 742, 1092, 1113, 1378, 1484, 2067, 2226, 2756, 4134, 4452, 4823, 8268, 9646, 14469, 19292, 28938

Step-4: Factors of 57888

List of positive integer factors of 57888 that divides 57876 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 57876 and 57888. The biggest common factor number is the GCF number.
So the greatest common factor 57876 and 57888 is 12.

Also check out the Least Common Multiple of 57876 and 57888