Greatest Common Factor of 758 and 761

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

• Greatest Common Factor of 758 and 761 by prime factorization method
• Greatest Common Factor of 758 and 761 by matching factors method

Prime Factorization of 758

Prime factors of 758 are 2,379. Prime factorization of 758 in exponential form is:

758 = 2¹×379¹

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 758 and 761 is 1

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

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 758 and 761. The biggest common factor number is the GCF number.
So the greatest common factor 758 and 761 is 1.

Also check out the Least Common Multiple of 758 and 761

(i) The GCF of 758 and 761 is associative

GCF of 758 and 761 = GCF of 761 and 758

1. What is the GCF of 758 and 761?

Answer: GCF of 758 and 761 is 1.

2. What are the Factors of 758?

Answer: Factors of 758 are 1, 2, 379, 758. There are 4 integers that are factors of 758. The greatest factor of 758 is 758.

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 758 and 761?

Answer:

Greatest Common Factor of 758 and 761 = 1

Step 1: Find the prime factorization of 758

758 = 2 x 379

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 758 and 761 is 1