What is the Greatest Common Factor of 48677 and 48688?

Greatest common factor (GCF) of 48677 and 48688 is 1.

GCF(48677,48688) = 1

We will now calculate the prime factors of 48677 and 48688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48677 and 48688.

How to find the GCF of 48677 and 48688?

We will first find the prime factorization of 48677 and 48688. After we will calculate the factors of 48677 and 48688 and find the biggest common factor number .

Step-1: Prime Factorization of 48677

Prime factors of 48677 are 48677. Prime factorization of 48677 in exponential form is:

48677 = 48677¹

Step-2: 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-3: Factors of 48677

List of positive integer factors of 48677 that divides 48677 without a remainder.

Step-4: Factors of 48688

List of positive integer factors of 48688 that divides 48677 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48677 and 48688. The biggest common factor number is the GCF number.
So the greatest common factor 48677 and 48688 is 1.

Also check out the Least Common Multiple of 48677 and 48688