Greatest Common Factor of 4904 and 4908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4904, 4908 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4904 and 4908 is 4.

GCF(4904,4908) = 4

GCF of 4904 and 4908

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4904 and 4908

GCF of 4904 and 4908 is 4

Prime Factorization of 4904


2 4904
2 2452
2 1226
613 613
1

Prime factors of 4904 are 2,613. Prime factorization of 4904 in exponential form is:

4904 = 23×6131

Prime Factorization of 4908


2 4908
2 2454
3 1227
409 409
1

Prime factors of 4908 are 2,3,409. Prime factorization of 4908 in exponential form is:

4908 = 22×31×4091

∴ So by taking common prime factors GCF of 4904 and 4908 is 4

Greatest Common Factor of 4904 and 4908 by matching factors method

Factors of 4904

List of positive integer factors of 4904 that divides 4904 without a remainder.

1,2,4,8,613,1226,2452,4904

Factors of 4908

List of positive integer factors of 4908 that divides 4908 without a remainder.

1,2,3,4,6,12,409,818,1227,1636,2454,4908

Greatest Common Factor

We found the factors and prime factorization of 4904 and 4908. The biggest common factor number is the GCF number.
So the greatest common factor 4904 and 4908 is 4.

Also check out the Least Common Multiple of 4904 and 4908

Properties of GCF 4904 and 4908

(i) The GCF of 4904 and 4908 is associative

GCF of 4904 and 4908 = GCF of 4908 and 4904

Related Greatest Common Factor of 4904

Related Greatest Common Factor of 4908

Frequently Asked Questions on GCF of 4904 and 4908

1. What is the GCF of 4904 and 4908?

Answer: GCF of 4904 and 4908 is 4.

2. What are the Factors of 4904?

Answer: Factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904. There are 8 integers that are factors of 4904. The greatest factor of 4904 is 4904.

3. What are the Factors of 4908?

Answer: Factors of 4908 are 1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454, 4908. There are 12 integers that are factors of 4908. The greatest factor of 4908 is 4908.

4. How to Find the GCF of 4904 and 4908?

Answer:

Greatest Common Factor of 4904 and 4908 = 4

Step 1: Find the prime factorization of 4904

4904 = 2 x 2 x 2 x 613

Step 2: Find the prime factorization of 4908

4908 = 2 x 2 x 3 x 409

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4904 and 4908 is 4