Greatest Common Factor of 87734 and 87742

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 87734, 87742 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 87734 and 87742 is 2.

GCF(87734,87742) = 2

GCF of 87734 and 87742

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

GCF of:
and

Greatest Common Factor of 87734 and 87742

GCF of 87734 and 87742 is 2

Prime Factorization of 87734


2 87734
43867 43867
1

Prime factors of 87734 are 2,43867. Prime factorization of 87734 in exponential form is:

87734 = 21×438671

Prime Factorization of 87742


2 87742
19 43871
2309 2309
1

Prime factors of 87742 are 2,19,2309. Prime factorization of 87742 in exponential form is:

87742 = 21×191×23091

∴ So by taking common prime factors GCF of 87734 and 87742 is 2

Greatest Common Factor of 87734 and 87742 by matching factors method

Factors of 87734

List of positive integer factors of 87734 that divides 87734 without a remainder.

1,2,43867,87734

Factors of 87742

List of positive integer factors of 87742 that divides 87742 without a remainder.

1,2,19,38,2309,4618,43871,87742

Greatest Common Factor

We found the factors and prime factorization of 87734 and 87742. The biggest common factor number is the GCF number.
So the greatest common factor 87734 and 87742 is 2.

Also check out the Least Common Multiple of 87734 and 87742

Properties of GCF 87734 and 87742

(i) The GCF of 87734 and 87742 is associative

GCF of 87734 and 87742 = GCF of 87742 and 87734

Related Greatest Common Factor of 87734

Related Greatest Common Factor of 87742

Frequently Asked Questions on GCF of 87734 and 87742

1. What is the GCF of 87734 and 87742?

Answer: GCF of 87734 and 87742 is 2.

2. What are the Factors of 87734?

Answer: Factors of 87734 are 1, 2, 43867, 87734. There are 4 integers that are factors of 87734. The greatest factor of 87734 is 87734.

3. What are the Factors of 87742?

Answer: Factors of 87742 are 1, 2, 19, 38, 2309, 4618, 43871, 87742. There are 8 integers that are factors of 87742. The greatest factor of 87742 is 87742.

4. How to Find the GCF of 87734 and 87742?

Answer:

Greatest Common Factor of 87734 and 87742 = 2

Step 1: Find the prime factorization of 87734

87734 = 2 x 43867

Step 2: Find the prime factorization of 87742

87742 = 2 x 19 x 2309

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

GCF = 2

Step 4: Therefore, the greatest common factor of 87734 and 87742 is 2