Greatest Common Factor of 501 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 501, 508 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 501 and 508 is 1.

GCF(501,508) = 1

GCF of 501 and 508

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

GCF of:
and

Greatest Common Factor of 501 and 508

GCF of 501 and 508 is 1

Prime Factorization of 501


3 501
167 167
1

Prime factors of 501 are 3,167. Prime factorization of 501 in exponential form is:

501 = 31×1671

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 501 and 508 is 1

Greatest Common Factor of 501 and 508 by matching factors method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

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 501 and 508. The biggest common factor number is the GCF number.
So the greatest common factor 501 and 508 is 1.

Also check out the Least Common Multiple of 501 and 508

Properties of GCF 501 and 508

(i) The GCF of 501 and 508 is associative

GCF of 501 and 508 = GCF of 508 and 501

Related Greatest Common Factor of 501

Related Greatest Common Factor of 508

Frequently Asked Questions on GCF of 501 and 508

1. What is the GCF of 501 and 508?

Answer: GCF of 501 and 508 is 1.

2. What are the Factors of 501?

Answer: Factors of 501 are 1, 3, 167, 501. There are 4 integers that are factors of 501. The greatest factor of 501 is 501.

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 501 and 508?

Answer:

Greatest Common Factor of 501 and 508 = 1

Step 1: Find the prime factorization of 501

501 = 3 x 167

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 501 and 508 is 1