What is the Greatest Common Factor of 48688 and 48707?

Greatest common factor (GCF) of 48688 and 48707 is 1.

GCF(48688,48707) = 1

We will now calculate the prime factors of 48688 and 48707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48688 and 48707.

How to find the GCF of 48688 and 48707?

We will first find the prime factorization of 48688 and 48707. After we will calculate the factors of 48688 and 48707 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 48707

Prime factors of 48707 are 53, 919. Prime factorization of 48707 in exponential form is:

48707 = 53¹ × 919¹

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 48707

List of positive integer factors of 48707 that divides 48688 without a remainder.

1, 53, 919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48688 and 48707. The biggest common factor number is the GCF number.
So the greatest common factor 48688 and 48707 is 1.

Also check out the Least Common Multiple of 48688 and 48707