Greatest Common Factor of 754 and 761

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

• Greatest Common Factor of 754 and 761 by prime factorization method
• Greatest Common Factor of 754 and 761 by matching factors method

Prime Factorization of 754

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

754 = 2¹×13¹×29¹

Prime Factorization of 761

Prime factors of 761 are 761. Prime factorization of 761 in exponential form is:

761 = 761¹

∴ So by taking common prime factors GCF of 754 and 761 is 1

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 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors and prime factorization of 754 and 761. The biggest common factor number is the GCF number.
So the greatest common factor 754 and 761 is 1.

Also check out the Least Common Multiple of 754 and 761

(i) The GCF of 754 and 761 is associative

GCF of 754 and 761 = GCF of 761 and 754

1. What is the GCF of 754 and 761?

Answer: GCF of 754 and 761 is 1.

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 761?

Answer: Factors of 761 are 1, 761. There are 2 integers that are factors of 761. The greatest factor of 761 is 761.

4. How to Find the GCF of 754 and 761?

Answer:

Greatest Common Factor of 754 and 761 = 1

Step 1: Find the prime factorization of 754

754 = 2 x 13 x 29

Step 2: Find the prime factorization of 761

761 = 761

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 754 and 761 is 1