What is the Greatest Common Factor of 58668 and 58688?

Greatest common factor (GCF) of 58668 and 58688 is 4.

GCF(58668,58688) = 4

We will now calculate the prime factors of 58668 and 58688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58668 and 58688.

How to find the GCF of 58668 and 58688?

We will first find the prime factorization of 58668 and 58688. After we will calculate the factors of 58668 and 58688 and find the biggest common factor number .

Step-1: Prime Factorization of 58668

Prime factors of 58668 are 2, 3, 4889. Prime factorization of 58668 in exponential form is:

58668 = 2² × 3¹ × 4889¹

Step-2: Prime Factorization of 58688

Prime factors of 58688 are 2, 7, 131. Prime factorization of 58688 in exponential form is:

58688 = 2⁶ × 7¹ × 131¹

Step-3: Factors of 58668

List of positive integer factors of 58668 that divides 58668 without a remainder.

1, 2, 3, 4, 6, 12, 4889, 9778, 14667, 19556, 29334

Step-4: Factors of 58688

List of positive integer factors of 58688 that divides 58668 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 131, 224, 262, 448, 524, 917, 1048, 1834, 2096, 3668, 4192, 7336, 8384, 14672, 29344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58668 and 58688. The biggest common factor number is the GCF number.
So the greatest common factor 58668 and 58688 is 4.

Also check out the Least Common Multiple of 58668 and 58688