What is the Greatest Common Factor of 4880 and 4898?

Greatest common factor (GCF) of 4880 and 4898 is 2.

GCF(4880,4898) = 2

We will now calculate the prime factors of 4880 and 4898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4880 and 4898.

How to find the GCF of 4880 and 4898?

We will first find the prime factorization of 4880 and 4898. After we will calculate the factors of 4880 and 4898 and find the biggest common factor number .

Step-1: Prime Factorization of 4880

Prime factors of 4880 are 2, 5, 61. Prime factorization of 4880 in exponential form is:

4880 = 2⁴ × 5¹ × 61¹

Step-2: Prime Factorization of 4898

Prime factors of 4898 are 2, 31, 79. Prime factorization of 4898 in exponential form is:

4898 = 2¹ × 31¹ × 79¹

Step-3: Factors of 4880

List of positive integer factors of 4880 that divides 4880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440

Step-4: Factors of 4898

List of positive integer factors of 4898 that divides 4880 without a remainder.

1, 2, 31, 62, 79, 158, 2449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4880 and 4898. The biggest common factor number is the GCF number.
So the greatest common factor 4880 and 4898 is 2.

Also check out the Least Common Multiple of 4880 and 4898