What is the Greatest Common Factor of 58688 and 58705?

Greatest common factor (GCF) of 58688 and 58705 is 1.

GCF(58688,58705) = 1

We will now calculate the prime factors of 58688 and 58705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58688 and 58705.

How to find the GCF of 58688 and 58705?

We will first find the prime factorization of 58688 and 58705. After we will calculate the factors of 58688 and 58705 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 58705

Prime factors of 58705 are 5, 59, 199. Prime factorization of 58705 in exponential form is:

58705 = 5¹ × 59¹ × 199¹

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 58705

List of positive integer factors of 58705 that divides 58688 without a remainder.

1, 5, 59, 199, 295, 995, 11741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58688 and 58705. The biggest common factor number is the GCF number.
So the greatest common factor 58688 and 58705 is 1.

Also check out the Least Common Multiple of 58688 and 58705