Greatest Common Factor of 762 and 765

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 762, 765 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 762 and 765 is 3.

GCF(762,765) = 3

GCF of 762 and 765

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

GCF of:
and

Greatest Common Factor of 762 and 765

GCF of 762 and 765 is 3

Prime Factorization of 762


2 762
3 381
127 127
1

Prime factors of 762 are 2,3,127. Prime factorization of 762 in exponential form is:

762 = 21×31×1271

Prime Factorization of 765


3 765
3 255
5 85
17 17
1

Prime factors of 765 are 3,5,17. Prime factorization of 765 in exponential form is:

765 = 32×51×171

∴ So by taking common prime factors GCF of 762 and 765 is 3

Greatest Common Factor of 762 and 765 by matching factors method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors and prime factorization of 762 and 765. The biggest common factor number is the GCF number.
So the greatest common factor 762 and 765 is 3.

Also check out the Least Common Multiple of 762 and 765

Properties of GCF 762 and 765

(i) The GCF of 762 and 765 is associative

GCF of 762 and 765 = GCF of 765 and 762

Related Greatest Common Factor of 762

Related Greatest Common Factor of 765

Frequently Asked Questions on GCF of 762 and 765

1. What is the GCF of 762 and 765?

Answer: GCF of 762 and 765 is 3.

2. What are the Factors of 762?

Answer: Factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762. There are 8 integers that are factors of 762. The greatest factor of 762 is 762.

3. What are the Factors of 765?

Answer: Factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765. There are 12 integers that are factors of 765. The greatest factor of 765 is 765.

4. How to Find the GCF of 762 and 765?

Answer:

Greatest Common Factor of 762 and 765 = 3

Step 1: Find the prime factorization of 762

762 = 2 x 3 x 127

Step 2: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

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

GCF = 3

Step 4: Therefore, the greatest common factor of 762 and 765 is 3