What is the Greatest Common Factor of 48797 and 48811?

Greatest common factor (GCF) of 48797 and 48811 is 7.

GCF(48797,48811) = 7

We will now calculate the prime factors of 48797 and 48811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48797 and 48811.

How to find the GCF of 48797 and 48811?

We will first find the prime factorization of 48797 and 48811. After we will calculate the factors of 48797 and 48811 and find the biggest common factor number .

Step-1: Prime Factorization of 48797

Prime factors of 48797 are 7, 6971. Prime factorization of 48797 in exponential form is:

48797 = 7¹ × 6971¹

Step-2: Prime Factorization of 48811

Prime factors of 48811 are 7, 19, 367. Prime factorization of 48811 in exponential form is:

48811 = 7¹ × 19¹ × 367¹

Step-3: Factors of 48797

List of positive integer factors of 48797 that divides 48797 without a remainder.

1, 7, 6971

Step-4: Factors of 48811

List of positive integer factors of 48811 that divides 48797 without a remainder.

1, 7, 19, 133, 367, 2569, 6973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48797 and 48811. The biggest common factor number is the GCF number.
So the greatest common factor 48797 and 48811 is 7.

Also check out the Least Common Multiple of 48797 and 48811