Greatest Common Factor of 485 and 491

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

• Greatest Common Factor of 485 and 491 by prime factorization method
• Greatest Common Factor of 485 and 491 by matching factors method

Prime Factorization of 485

Prime factors of 485 are 5,97. Prime factorization of 485 in exponential form is:

485 = 5¹×97¹

Prime Factorization of 491

Prime factors of 491 are 491. Prime factorization of 491 in exponential form is:

491 = 491¹

∴ So by taking common prime factors GCF of 485 and 491 is 1

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors and prime factorization of 485 and 491. The biggest common factor number is the GCF number.
So the greatest common factor 485 and 491 is 1.

Also check out the Least Common Multiple of 485 and 491

(i) The GCF of 485 and 491 is associative

GCF of 485 and 491 = GCF of 491 and 485

1. What is the GCF of 485 and 491?

Answer: GCF of 485 and 491 is 1.

2. What are the Factors of 485?

Answer: Factors of 485 are 1, 5, 97, 485. There are 4 integers that are factors of 485. The greatest factor of 485 is 485.

3. What are the Factors of 491?

Answer: Factors of 491 are 1, 491. There are 2 integers that are factors of 491. The greatest factor of 491 is 491.

4. How to Find the GCF of 485 and 491?

Answer:

Greatest Common Factor of 485 and 491 = 1

Step 1: Find the prime factorization of 485

485 = 5 x 97

Step 2: Find the prime factorization of 491

491 = 491

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 485 and 491 is 1