Greatest Common Factor of 7742 and 7747

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 7742, 7747 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7742 and 7747 is 1.

GCF(7742,7747) = 1

GCF of 7742 and 7747

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

GCF of:
and

Greatest Common Factor of 7742 and 7747

GCF of 7742 and 7747 is 1

Prime Factorization of 7742


2 7742
7 3871
7 553
79 79
1

Prime factors of 7742 are 2,7,79. Prime factorization of 7742 in exponential form is:

7742 = 21×72×791

Prime Factorization of 7747


61 7747
127 127
1

Prime factors of 7747 are 61,127. Prime factorization of 7747 in exponential form is:

7747 = 611×1271

∴ So by taking common prime factors GCF of 7742 and 7747 is 1

Greatest Common Factor of 7742 and 7747 by matching factors method

Factors of 7742

List of positive integer factors of 7742 that divides 7742 without a remainder.

1,2,7,14,49,79,98,158,553,1106,3871,7742

Factors of 7747

List of positive integer factors of 7747 that divides 7747 without a remainder.

1,61,127,7747

Greatest Common Factor

We found the factors and prime factorization of 7742 and 7747. The biggest common factor number is the GCF number.
So the greatest common factor 7742 and 7747 is 1.

Also check out the Least Common Multiple of 7742 and 7747

Properties of GCF 7742 and 7747

(i) The GCF of 7742 and 7747 is associative

GCF of 7742 and 7747 = GCF of 7747 and 7742

Related Greatest Common Factor of 7742

Related Greatest Common Factor of 7747

Frequently Asked Questions on GCF of 7742 and 7747

1. What is the GCF of 7742 and 7747?

Answer: GCF of 7742 and 7747 is 1.

2. What are the Factors of 7742?

Answer: Factors of 7742 are 1, 2, 7, 14, 49, 79, 98, 158, 553, 1106, 3871, 7742. There are 12 integers that are factors of 7742. The greatest factor of 7742 is 7742.

3. What are the Factors of 7747?

Answer: Factors of 7747 are 1, 61, 127, 7747. There are 4 integers that are factors of 7747. The greatest factor of 7747 is 7747.

4. How to Find the GCF of 7742 and 7747?

Answer:

Greatest Common Factor of 7742 and 7747 = 1

Step 1: Find the prime factorization of 7742

7742 = 2 x 7 x 7 x 79

Step 2: Find the prime factorization of 7747

7747 = 61 x 127

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 7742 and 7747 is 1