What is the Greatest Common Factor of 48678 and 48685?

Greatest common factor (GCF) of 48678 and 48685 is 7.

GCF(48678,48685) = 7

We will now calculate the prime factors of 48678 and 48685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48678 and 48685.

How to find the GCF of 48678 and 48685?

We will first find the prime factorization of 48678 and 48685. After we will calculate the factors of 48678 and 48685 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 48685

Prime factors of 48685 are 5, 7, 13, 107. Prime factorization of 48685 in exponential form is:

48685 = 5¹ × 7¹ × 13¹ × 107¹

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 48685

List of positive integer factors of 48685 that divides 48678 without a remainder.

1, 5, 7, 13, 35, 65, 91, 107, 455, 535, 749, 1391, 3745, 6955, 9737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48678 and 48685. The biggest common factor number is the GCF number.
So the greatest common factor 48678 and 48685 is 7.

Also check out the Least Common Multiple of 48678 and 48685