What is the Greatest Common Factor of 48659 and 48678?

Greatest common factor (GCF) of 48659 and 48678 is 19.

GCF(48659,48678) = 19

We will now calculate the prime factors of 48659 and 48678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48659 and 48678.

How to find the GCF of 48659 and 48678?

We will first find the prime factorization of 48659 and 48678. After we will calculate the factors of 48659 and 48678 and find the biggest common factor number .

Step-1: Prime Factorization of 48659

Prime factors of 48659 are 13, 19, 197. Prime factorization of 48659 in exponential form is:

48659 = 13¹ × 19¹ × 197¹

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 48659

List of positive integer factors of 48659 that divides 48659 without a remainder.

1, 13, 19, 197, 247, 2561, 3743

Step-4: Factors of 48678

List of positive integer factors of 48678 that divides 48659 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 48659 and 48678. The biggest common factor number is the GCF number.
So the greatest common factor 48659 and 48678 is 19.

Also check out the Least Common Multiple of 48659 and 48678