Greatest Common Factor of 505 and 508

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 505, 508 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 505 and 508 is 1.

GCF(505,508) = 1

GCF of 505 and 508

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

GCF of:
and

Greatest Common Factor of 505 and 508

GCF of 505 and 508 is 1

Prime Factorization of 505


5 505
101 101
1

Prime factors of 505 are 5,101. Prime factorization of 505 in exponential form is:

505 = 51×1011

Prime Factorization of 508


2 508
2 254
127 127
1

Prime factors of 508 are 2,127. Prime factorization of 508 in exponential form is:

508 = 22×1271

∴ So by taking common prime factors GCF of 505 and 508 is 1

Greatest Common Factor of 505 and 508 by matching factors method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors and prime factorization of 505 and 508. The biggest common factor number is the GCF number.
So the greatest common factor 505 and 508 is 1.

Also check out the Least Common Multiple of 505 and 508

Properties of GCF 505 and 508

(i) The GCF of 505 and 508 is associative

GCF of 505 and 508 = GCF of 508 and 505

Related Greatest Common Factor of 505

Related Greatest Common Factor of 508

Frequently Asked Questions on GCF of 505 and 508

1. What is the GCF of 505 and 508?

Answer: GCF of 505 and 508 is 1.

2. What are the Factors of 505?

Answer: Factors of 505 are 1, 5, 101, 505. There are 4 integers that are factors of 505. The greatest factor of 505 is 505.

3. What are the Factors of 508?

Answer: Factors of 508 are 1, 2, 4, 127, 254, 508. There are 6 integers that are factors of 508. The greatest factor of 508 is 508.

4. How to Find the GCF of 505 and 508?

Answer:

Greatest Common Factor of 505 and 508 = 1

Step 1: Find the prime factorization of 505

505 = 5 x 101

Step 2: Find the prime factorization of 508

508 = 2 x 2 x 127

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 505 and 508 is 1