What is the Greatest Common Factor of 48785 and 48796?

Greatest common factor (GCF) of 48785 and 48796 is 11.

GCF(48785,48796) = 11

We will now calculate the prime factors of 48785 and 48796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48785 and 48796.

How to find the GCF of 48785 and 48796?

We will first find the prime factorization of 48785 and 48796. After we will calculate the factors of 48785 and 48796 and find the biggest common factor number .

Step-1: Prime Factorization of 48785

Prime factors of 48785 are 5, 11, 887. Prime factorization of 48785 in exponential form is:

48785 = 5¹ × 11¹ × 887¹

Step-2: Prime Factorization of 48796

Prime factors of 48796 are 2, 11, 1109. Prime factorization of 48796 in exponential form is:

48796 = 2² × 11¹ × 1109¹

Step-3: Factors of 48785

List of positive integer factors of 48785 that divides 48785 without a remainder.

1, 5, 11, 55, 887, 4435, 9757

Step-4: Factors of 48796

List of positive integer factors of 48796 that divides 48785 without a remainder.

1, 2, 4, 11, 22, 44, 1109, 2218, 4436, 12199, 24398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48785 and 48796. The biggest common factor number is the GCF number.
So the greatest common factor 48785 and 48796 is 11.

Also check out the Least Common Multiple of 48785 and 48796