Greatest Common Factor of 8987 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 8987, 8988 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8987 and 8988 is 1.

GCF(8987,8988) = 1

GCF of 8987 and 8988

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

GCF of:
and

Greatest Common Factor of 8987 and 8988

GCF of 8987 and 8988 is 1

Prime Factorization of 8987


11 8987
19 817
43 43
1

Prime factors of 8987 are 11,19,43. Prime factorization of 8987 in exponential form is:

8987 = 111×191×431

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 8987 and 8988 is 1

Greatest Common Factor of 8987 and 8988 by matching factors method

Factors of 8987

List of positive integer factors of 8987 that divides 8987 without a remainder.

1,11,19,43,209,473,817,8987

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 8987 and 8988. The biggest common factor number is the GCF number.
So the greatest common factor 8987 and 8988 is 1.

Also check out the Least Common Multiple of 8987 and 8988

Properties of GCF 8987 and 8988

(i) The GCF of 8987 and 8988 is associative

GCF of 8987 and 8988 = GCF of 8988 and 8987

Related Greatest Common Factor of 8987

Related Greatest Common Factor of 8988

Frequently Asked Questions on GCF of 8987 and 8988

1. What is the GCF of 8987 and 8988?

Answer: GCF of 8987 and 8988 is 1.

2. What are the Factors of 8987?

Answer: Factors of 8987 are 1, 11, 19, 43, 209, 473, 817, 8987. There are 8 integers that are factors of 8987. The greatest factor of 8987 is 8987.

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 8987 and 8988?

Answer:

Greatest Common Factor of 8987 and 8988 = 1

Step 1: Find the prime factorization of 8987

8987 = 11 x 19 x 43

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 = = 1

Step 4: Therefore, the greatest common factor of 8987 and 8988 is 1