What is the Greatest Common Factor of 48854 and 48867?

Greatest common factor (GCF) of 48854 and 48867 is 13.

GCF(48854,48867) = 13

We will now calculate the prime factors of 48854 and 48867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48854 and 48867.

How to find the GCF of 48854 and 48867?

We will first find the prime factorization of 48854 and 48867. After we will calculate the factors of 48854 and 48867 and find the biggest common factor number .

Step-1: Prime Factorization of 48854

Prime factors of 48854 are 2, 13, 1879. Prime factorization of 48854 in exponential form is:

48854 = 2¹ × 13¹ × 1879¹

Step-2: Prime Factorization of 48867

Prime factors of 48867 are 3, 7, 13, 179. Prime factorization of 48867 in exponential form is:

48867 = 3¹ × 7¹ × 13¹ × 179¹

Step-3: Factors of 48854

List of positive integer factors of 48854 that divides 48854 without a remainder.

1, 2, 13, 26, 1879, 3758, 24427

Step-4: Factors of 48867

List of positive integer factors of 48867 that divides 48854 without a remainder.

1, 3, 7, 13, 21, 39, 91, 179, 273, 537, 1253, 2327, 3759, 6981, 16289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48854 and 48867. The biggest common factor number is the GCF number.
So the greatest common factor 48854 and 48867 is 13.

Also check out the Least Common Multiple of 48854 and 48867