Greatest Common Factor of 8904 and 8907

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 8904, 8907 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8904 and 8907 is 3.

GCF(8904,8907) = 3

GCF of 8904 and 8907

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

GCF of:
and

Greatest Common Factor of 8904 and 8907

GCF of 8904 and 8907 is 3

Prime Factorization of 8904


2 8904
2 4452
2 2226
3 1113
7 371
53 53
1

Prime factors of 8904 are 2,3,7,53. Prime factorization of 8904 in exponential form is:

8904 = 23×31×71×531

Prime Factorization of 8907


3 8907
2969 2969
1

Prime factors of 8907 are 3,2969. Prime factorization of 8907 in exponential form is:

8907 = 31×29691

∴ So by taking common prime factors GCF of 8904 and 8907 is 3

Greatest Common Factor of 8904 and 8907 by matching factors method

Factors of 8904

List of positive integer factors of 8904 that divides 8904 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904

Factors of 8907

List of positive integer factors of 8907 that divides 8907 without a remainder.

1,3,2969,8907

Greatest Common Factor

We found the factors and prime factorization of 8904 and 8907. The biggest common factor number is the GCF number.
So the greatest common factor 8904 and 8907 is 3.

Also check out the Least Common Multiple of 8904 and 8907

Properties of GCF 8904 and 8907

(i) The GCF of 8904 and 8907 is associative

GCF of 8904 and 8907 = GCF of 8907 and 8904

Related Greatest Common Factor of 8904

Related Greatest Common Factor of 8907

Frequently Asked Questions on GCF of 8904 and 8907

1. What is the GCF of 8904 and 8907?

Answer: GCF of 8904 and 8907 is 3.

2. What are the Factors of 8904?

Answer: Factors of 8904 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452, 8904. There are 32 integers that are factors of 8904. The greatest factor of 8904 is 8904.

3. What are the Factors of 8907?

Answer: Factors of 8907 are 1, 3, 2969, 8907. There are 4 integers that are factors of 8907. The greatest factor of 8907 is 8907.

4. How to Find the GCF of 8904 and 8907?

Answer:

Greatest Common Factor of 8904 and 8907 = 3

Step 1: Find the prime factorization of 8904

8904 = 2 x 2 x 2 x 3 x 7 x 53

Step 2: Find the prime factorization of 8907

8907 = 3 x 2969

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8904 and 8907 is 3