Greatest Common Factor of 8980 and 8988

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 8980, 8988 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8980 and 8988 is 4.

GCF(8980,8988) = 4

GCF of 8980 and 8988

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

GCF of:
and

Greatest Common Factor of 8980 and 8988

GCF of 8980 and 8988 is 4

Prime Factorization of 8980


2 8980
2 4490
5 2245
449 449
1

Prime factors of 8980 are 2,5,449. Prime factorization of 8980 in exponential form is:

8980 = 22×51×4491

Prime Factorization of 8988


2 8988
2 4494
3 2247
7 749
107 107
1

Prime factors of 8988 are 2,3,7,107. Prime factorization of 8988 in exponential form is:

8988 = 22×31×71×1071

∴ So by taking common prime factors GCF of 8980 and 8988 is 4

Greatest Common Factor of 8980 and 8988 by matching factors method

Factors of 8980

List of positive integer factors of 8980 that divides 8980 without a remainder.

1,2,4,5,10,20,449,898,1796,2245,4490,8980

Factors of 8988

List of positive integer factors of 8988 that divides 8988 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,107,214,321,428,642,749,1284,1498,2247,2996,4494,8988

Greatest Common Factor

We found the factors and prime factorization of 8980 and 8988. The biggest common factor number is the GCF number.
So the greatest common factor 8980 and 8988 is 4.

Also check out the Least Common Multiple of 8980 and 8988

Properties of GCF 8980 and 8988

(i) The GCF of 8980 and 8988 is associative

GCF of 8980 and 8988 = GCF of 8988 and 8980

Related Greatest Common Factor of 8980

Related Greatest Common Factor of 8988

Frequently Asked Questions on GCF of 8980 and 8988

1. What is the GCF of 8980 and 8988?

Answer: GCF of 8980 and 8988 is 4.

2. What are the Factors of 8980?

Answer: Factors of 8980 are 1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980. There are 12 integers that are factors of 8980. The greatest factor of 8980 is 8980.

3. What are the Factors of 8988?

Answer: Factors of 8988 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494, 8988. There are 24 integers that are factors of 8988. The greatest factor of 8988 is 8988.

4. How to Find the GCF of 8980 and 8988?

Answer:

Greatest Common Factor of 8980 and 8988 = 4

Step 1: Find the prime factorization of 8980

8980 = 2 x 2 x 5 x 449

Step 2: Find the prime factorization of 8988

8988 = 2 x 2 x 3 x 7 x 107

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 8980 and 8988 is 4