What is the Greatest Common Factor of 48688 and 48705?

Greatest common factor (GCF) of 48688 and 48705 is 17.

GCF(48688,48705) = 17

We will now calculate the prime factors of 48688 and 48705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48688 and 48705.

How to find the GCF of 48688 and 48705?

We will first find the prime factorization of 48688 and 48705. After we will calculate the factors of 48688 and 48705 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 48705

Prime factors of 48705 are 3, 5, 17, 191. Prime factorization of 48705 in exponential form is:

48705 = 3¹ × 5¹ × 17¹ × 191¹

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 48705

List of positive integer factors of 48705 that divides 48688 without a remainder.

1, 3, 5, 15, 17, 51, 85, 191, 255, 573, 955, 2865, 3247, 9741, 16235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48688 and 48705. The biggest common factor number is the GCF number.
So the greatest common factor 48688 and 48705 is 17.

Also check out the Least Common Multiple of 48688 and 48705