Greatest Common Factor of 754 and 762

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 754, 762 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 754 and 762 is 2.

GCF(754,762) = 2

GCF of 754 and 762

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

GCF of:
and

Greatest Common Factor of 754 and 762

GCF of 754 and 762 is 2

Prime Factorization of 754


2 754
13 377
29 29
1

Prime factors of 754 are 2,13,29. Prime factorization of 754 in exponential form is:

754 = 21×131×291

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

∴ So by taking common prime factors GCF of 754 and 762 is 2

Greatest Common Factor of 754 and 762 by matching factors method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 762

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

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

Greatest Common Factor

We found the factors and prime factorization of 754 and 762. The biggest common factor number is the GCF number.
So the greatest common factor 754 and 762 is 2.

Also check out the Least Common Multiple of 754 and 762

Properties of GCF 754 and 762

(i) The GCF of 754 and 762 is associative

GCF of 754 and 762 = GCF of 762 and 754

Related Greatest Common Factor of 754

Related Greatest Common Factor of 762

Frequently Asked Questions on GCF of 754 and 762

1. What is the GCF of 754 and 762?

Answer: GCF of 754 and 762 is 2.

2. What are the Factors of 754?

Answer: Factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754. There are 8 integers that are factors of 754. The greatest factor of 754 is 754.

3. 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.

4. How to Find the GCF of 754 and 762?

Answer:

Greatest Common Factor of 754 and 762 = 2

Step 1: Find the prime factorization of 754

754 = 2 x 13 x 29

Step 2: Find the prime factorization of 762

762 = 2 x 3 x 127

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 754 and 762 is 2