What is the Greatest Common Factor of 48675 and 48688?

Greatest common factor (GCF) of 48675 and 48688 is 1.

GCF(48675,48688) = 1

We will now calculate the prime factors of 48675 and 48688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48675 and 48688.

How to find the GCF of 48675 and 48688?

We will first find the prime factorization of 48675 and 48688. After we will calculate the factors of 48675 and 48688 and find the biggest common factor number .

Step-1: Prime Factorization of 48675

Prime factors of 48675 are 3, 5, 11, 59. Prime factorization of 48675 in exponential form is:

48675 = 3¹ × 5² × 11¹ × 59¹

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 48675

List of positive integer factors of 48675 that divides 48675 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 59, 75, 165, 177, 275, 295, 649, 825, 885, 1475, 1947, 3245, 4425, 9735, 16225

Step-4: Factors of 48688

List of positive integer factors of 48688 that divides 48675 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 48675 and 48688. The biggest common factor number is the GCF number.
So the greatest common factor 48675 and 48688 is 1.

Also check out the Least Common Multiple of 48675 and 48688