Greatest Common Factor of 484 and 485

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 484, 485 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 484 and 485 is 1.

GCF(484,485) = 1

GCF of 484 and 485

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

GCF of:
and

Greatest Common Factor of 484 and 485

GCF of 484 and 485 is 1

Prime Factorization of 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

Prime Factorization of 485


5 485
97 97
1

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

485 = 51×971

∴ So by taking common prime factors GCF of 484 and 485 is 1

Greatest Common Factor of 484 and 485 by matching factors method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 485

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

1,5,97,485

Greatest Common Factor

We found the factors and prime factorization of 484 and 485. The biggest common factor number is the GCF number.
So the greatest common factor 484 and 485 is 1.

Also check out the Least Common Multiple of 484 and 485

Properties of GCF 484 and 485

(i) The GCF of 484 and 485 is associative

GCF of 484 and 485 = GCF of 485 and 484

Related Greatest Common Factor of 484

Related Greatest Common Factor of 485

Frequently Asked Questions on GCF of 484 and 485

1. What is the GCF of 484 and 485?

Answer: GCF of 484 and 485 is 1.

2. What are the Factors of 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

3. 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.

4. How to Find the GCF of 484 and 485?

Answer:

Greatest Common Factor of 484 and 485 = 1

Step 1: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 485

485 = 5 x 97

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 484 and 485 is 1