What is the Greatest Common Factor of 48688 and 48695?

Greatest common factor (GCF) of 48688 and 48695 is 1.

GCF(48688,48695) = 1

We will now calculate the prime factors of 48688 and 48695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48688 and 48695.

How to find the GCF of 48688 and 48695?

We will first find the prime factorization of 48688 and 48695. After we will calculate the factors of 48688 and 48695 and find the biggest common factor number .

Step-1: Prime Factorization of 48688

Prime factors of 48688 are 2, 17, 179. Prime factorization of 48688 in exponential form is:

48688 = 2⁴ × 17¹ × 179¹

Step-2: Prime Factorization of 48695

Prime factors of 48695 are 5, 9739. Prime factorization of 48695 in exponential form is:

48695 = 5¹ × 9739¹

Step-3: Factors of 48688

List of positive integer factors of 48688 that divides 48688 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 179, 272, 358, 716, 1432, 2864, 3043, 6086, 12172, 24344

Step-4: Factors of 48695

List of positive integer factors of 48695 that divides 48688 without a remainder.

1, 5, 9739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48688 and 48695. The biggest common factor number is the GCF number.
So the greatest common factor 48688 and 48695 is 1.

Also check out the Least Common Multiple of 48688 and 48695