What is the Greatest Common Factor of 48660 and 48678?

Greatest common factor (GCF) of 48660 and 48678 is 6.

GCF(48660,48678) = 6

We will now calculate the prime factors of 48660 and 48678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48660 and 48678.

How to find the GCF of 48660 and 48678?

We will first find the prime factorization of 48660 and 48678. After we will calculate the factors of 48660 and 48678 and find the biggest common factor number .

Step-1: Prime Factorization of 48660

Prime factors of 48660 are 2, 3, 5, 811. Prime factorization of 48660 in exponential form is:

48660 = 2² × 3¹ × 5¹ × 811¹

Step-2: 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-3: Factors of 48660

List of positive integer factors of 48660 that divides 48660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 811, 1622, 2433, 3244, 4055, 4866, 8110, 9732, 12165, 16220, 24330

Step-4: Factors of 48678

List of positive integer factors of 48678 that divides 48660 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48660 and 48678. The biggest common factor number is the GCF number.
So the greatest common factor 48660 and 48678 is 6.

Also check out the Least Common Multiple of 48660 and 48678