Greatest Common Factor of 7987 and 7993

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 7987, 7993 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7987 and 7993 is 1.

GCF(7987,7993) = 1

GCF of 7987 and 7993

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

GCF of:
and

Greatest Common Factor of 7987 and 7993

GCF of 7987 and 7993 is 1

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

Prime Factorization of 7993


7993 7993
1

Prime factors of 7993 are 7993. Prime factorization of 7993 in exponential form is:

7993 = 79931

∴ So by taking common prime factors GCF of 7987 and 7993 is 1

Greatest Common Factor of 7987 and 7993 by matching factors method

Factors of 7987

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

1,7,49,163,1141,7987

Factors of 7993

List of positive integer factors of 7993 that divides 7993 without a remainder.

1,7993

Greatest Common Factor

We found the factors and prime factorization of 7987 and 7993. The biggest common factor number is the GCF number.
So the greatest common factor 7987 and 7993 is 1.

Also check out the Least Common Multiple of 7987 and 7993

Properties of GCF 7987 and 7993

(i) The GCF of 7987 and 7993 is associative

GCF of 7987 and 7993 = GCF of 7993 and 7987

Frequently Asked Questions on GCF of 7987 and 7993

1. What is the GCF of 7987 and 7993?

Answer: GCF of 7987 and 7993 is 1.

2. 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.

3. What are the Factors of 7993?

Answer: Factors of 7993 are 1, 7993. There are 2 integers that are factors of 7993. The greatest factor of 7993 is 7993.

4. How to Find the GCF of 7987 and 7993?

Answer:

Greatest Common Factor of 7987 and 7993 = 1

Step 1: Find the prime factorization of 7987

7987 = 7 x 7 x 163

Step 2: Find the prime factorization of 7993

7993 = 7993

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 7987 and 7993 is 1