What is the Greatest Common Factor of 58688 and 58703?

Greatest common factor (GCF) of 58688 and 58703 is 1.

GCF(58688,58703) = 1

We will now calculate the prime factors of 58688 and 58703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58688 and 58703.

How to find the GCF of 58688 and 58703?

We will first find the prime factorization of 58688 and 58703. After we will calculate the factors of 58688 and 58703 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 58703

Prime factors of 58703 are 47, 1249. Prime factorization of 58703 in exponential form is:

58703 = 47¹ × 1249¹

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 58703

List of positive integer factors of 58703 that divides 58688 without a remainder.

1, 47, 1249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58688 and 58703. The biggest common factor number is the GCF number.
So the greatest common factor 58688 and 58703 is 1.

Also check out the Least Common Multiple of 58688 and 58703