What is the Greatest Common Factor of 48678 and 48688?

Greatest common factor (GCF) of 48678 and 48688 is 2.

GCF(48678,48688) = 2

We will now calculate the prime factors of 48678 and 48688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48678 and 48688.

How to find the GCF of 48678 and 48688?

We will first find the prime factorization of 48678 and 48688. After we will calculate the factors of 48678 and 48688 and find the biggest common factor number .

Step-1: Prime Factorization of 48678

Prime factors of 48678 are 2, 3, 7, 19, 61. Prime factorization of 48678 in exponential form is:

48678 = 2¹ × 3¹ × 7¹ × 19¹ × 61¹

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 48678

List of positive integer factors of 48678 that divides 48678 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 61, 114, 122, 133, 183, 266, 366, 399, 427, 798, 854, 1159, 1281, 2318, 2562, 3477, 6954, 8113, 16226, 24339

Step-4: Factors of 48688

List of positive integer factors of 48688 that divides 48678 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 48678 and 48688. The biggest common factor number is the GCF number.
So the greatest common factor 48678 and 48688 is 2.

Also check out the Least Common Multiple of 48678 and 48688