What is the Greatest Common Factor of 4888 and 4901?

Greatest common factor (GCF) of 4888 and 4901 is 13.

GCF(4888,4901) = 13

We will now calculate the prime factors of 4888 and 4901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4888 and 4901.

How to find the GCF of 4888 and 4901?

We will first find the prime factorization of 4888 and 4901. After we will calculate the factors of 4888 and 4901 and find the biggest common factor number .

Step-1: Prime Factorization of 4888

Prime factors of 4888 are 2, 13, 47. Prime factorization of 4888 in exponential form is:

4888 = 2³ × 13¹ × 47¹

Step-2: Prime Factorization of 4901

Prime factors of 4901 are 13, 29. Prime factorization of 4901 in exponential form is:

4901 = 13² × 29¹

Step-3: Factors of 4888

List of positive integer factors of 4888 that divides 4888 without a remainder.

1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444

Step-4: Factors of 4901

List of positive integer factors of 4901 that divides 4888 without a remainder.

1, 13, 29, 169, 377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4888 and 4901. The biggest common factor number is the GCF number.
So the greatest common factor 4888 and 4901 is 13.

Also check out the Least Common Multiple of 4888 and 4901