Greatest Common Factor of 7984 and 7987

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 7984, 7987 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7984 and 7987 is 1.

GCF(7984,7987) = 1

GCF of 7984 and 7987

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

GCF of:
and

Greatest Common Factor of 7984 and 7987

GCF of 7984 and 7987 is 1

Prime Factorization of 7984


2 7984
2 3992
2 1996
2 998
499 499
1

Prime factors of 7984 are 2,499. Prime factorization of 7984 in exponential form is:

7984 = 24×4991

Prime Factorization of 7987


7 7987
7 1141
163 163
1

Prime factors of 7987 are 7,163. Prime factorization of 7987 in exponential form is:

7987 = 72×1631

∴ So by taking common prime factors GCF of 7984 and 7987 is 1

Greatest Common Factor of 7984 and 7987 by matching factors method

Factors of 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1,2,4,8,16,499,998,1996,3992,7984

Factors of 7987

List of positive integer factors of 7987 that divides 7987 without a remainder.

1,7,49,163,1141,7987

Greatest Common Factor

We found the factors and prime factorization of 7984 and 7987. The biggest common factor number is the GCF number.
So the greatest common factor 7984 and 7987 is 1.

Also check out the Least Common Multiple of 7984 and 7987

Properties of GCF 7984 and 7987

(i) The GCF of 7984 and 7987 is associative

GCF of 7984 and 7987 = GCF of 7987 and 7984

Related Greatest Common Factor of 7984

Related Greatest Common Factor of 7987

Frequently Asked Questions on GCF of 7984 and 7987

1. What is the GCF of 7984 and 7987?

Answer: GCF of 7984 and 7987 is 1.

2. What are the Factors of 7984?

Answer: Factors of 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984. There are 10 integers that are factors of 7984. The greatest factor of 7984 is 7984.

3. What are the Factors of 7987?

Answer: Factors of 7987 are 1, 7, 49, 163, 1141, 7987. There are 6 integers that are factors of 7987. The greatest factor of 7987 is 7987.

4. How to Find the GCF of 7984 and 7987?

Answer:

Greatest Common Factor of 7984 and 7987 = 1

Step 1: Find the prime factorization of 7984

7984 = 2 x 2 x 2 x 2 x 499

Step 2: Find the prime factorization of 7987

7987 = 7 x 7 x 163

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 7984 and 7987 is 1