What is the Greatest Common Factor of 4900 and 4910?

Greatest common factor (GCF) of 4900 and 4910 is 10.

GCF(4900,4910) = 10

We will now calculate the prime factors of 4900 and 4910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4900 and 4910.

How to find the GCF of 4900 and 4910?

We will first find the prime factorization of 4900 and 4910. After we will calculate the factors of 4900 and 4910 and find the biggest common factor number .

Step-1: Prime Factorization of 4900

Prime factors of 4900 are 2, 5, 7. Prime factorization of 4900 in exponential form is:

4900 = 2² × 5² × 7²

Step-2: Prime Factorization of 4910

Prime factors of 4910 are 2, 5, 491. Prime factorization of 4910 in exponential form is:

4910 = 2¹ × 5¹ × 491¹

Step-3: Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450

Step-4: Factors of 4910

List of positive integer factors of 4910 that divides 4900 without a remainder.

1, 2, 5, 10, 491, 982, 2455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4900 and 4910. The biggest common factor number is the GCF number.
So the greatest common factor 4900 and 4910 is 10.

Also check out the Least Common Multiple of 4900 and 4910