Greatest Common Factor of 7762 and 7767

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 7762, 7767 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7762 and 7767 is 1.

GCF(7762,7767) = 1

GCF of 7762 and 7767

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

GCF of:
and

Greatest Common Factor of 7762 and 7767

GCF of 7762 and 7767 is 1

Prime Factorization of 7762


2 7762
3881 3881
1

Prime factors of 7762 are 2,3881. Prime factorization of 7762 in exponential form is:

7762 = 21×38811

Prime Factorization of 7767


3 7767
3 2589
863 863
1

Prime factors of 7767 are 3,863. Prime factorization of 7767 in exponential form is:

7767 = 32×8631

∴ So by taking common prime factors GCF of 7762 and 7767 is 1

Greatest Common Factor of 7762 and 7767 by matching factors method

Factors of 7762

List of positive integer factors of 7762 that divides 7762 without a remainder.

1,2,3881,7762

Factors of 7767

List of positive integer factors of 7767 that divides 7767 without a remainder.

1,3,9,863,2589,7767

Greatest Common Factor

We found the factors and prime factorization of 7762 and 7767. The biggest common factor number is the GCF number.
So the greatest common factor 7762 and 7767 is 1.

Also check out the Least Common Multiple of 7762 and 7767

Properties of GCF 7762 and 7767

(i) The GCF of 7762 and 7767 is associative

GCF of 7762 and 7767 = GCF of 7767 and 7762

Related Greatest Common Factor of 7762

Related Greatest Common Factor of 7767

Frequently Asked Questions on GCF of 7762 and 7767

1. What is the GCF of 7762 and 7767?

Answer: GCF of 7762 and 7767 is 1.

2. What are the Factors of 7762?

Answer: Factors of 7762 are 1, 2, 3881, 7762. There are 4 integers that are factors of 7762. The greatest factor of 7762 is 7762.

3. What are the Factors of 7767?

Answer: Factors of 7767 are 1, 3, 9, 863, 2589, 7767. There are 6 integers that are factors of 7767. The greatest factor of 7767 is 7767.

4. How to Find the GCF of 7762 and 7767?

Answer:

Greatest Common Factor of 7762 and 7767 = 1

Step 1: Find the prime factorization of 7762

7762 = 2 x 3881

Step 2: Find the prime factorization of 7767

7767 = 3 x 3 x 863

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 7762 and 7767 is 1