What is the Greatest Common Factor of 58688 and 58708?

Greatest common factor (GCF) of 58688 and 58708 is 4.

GCF(58688,58708) = 4

We will now calculate the prime factors of 58688 and 58708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58688 and 58708.

How to find the GCF of 58688 and 58708?

We will first find the prime factorization of 58688 and 58708. After we will calculate the factors of 58688 and 58708 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58708

Prime factors of 58708 are 2, 13, 1129. Prime factorization of 58708 in exponential form is:

58708 = 2² × 13¹ × 1129¹

Step-3: Factors of 58688

List of positive integer factors of 58688 that divides 58688 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

Step-4: Factors of 58708

List of positive integer factors of 58708 that divides 58688 without a remainder.

1, 2, 4, 13, 26, 52, 1129, 2258, 4516, 14677, 29354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58688 and 58708. The biggest common factor number is the GCF number.
So the greatest common factor 58688 and 58708 is 4.

Also check out the Least Common Multiple of 58688 and 58708