Greatest Common Factor of 501 and 507
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, 507 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 501 and 507 is 3.
GCF(501,507) = 3
GCF of 501 and 507
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 501 and 507 by prime factorization method
- Greatest Common Factor of 501 and 507 by matching factors method
GCF of 501 and 507 is 3
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 507
| 3 | 507 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 507 are 3,13. Prime factorization of 507 in exponential form is:
507 = 31×132
∴ So by taking common prime factors GCF of 501 and 507 is 3
Greatest Common Factor of 501 and 507 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 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors and prime factorization of 501 and 507. The biggest common factor number is the GCF number.
So the greatest common factor 501 and 507 is 3.
Also check out the Least Common Multiple of 501 and 507
Properties of GCF 501 and 507
(i) The GCF of 501 and 507 is associative
GCF of 501 and 507 = GCF of 507 and 501
Related Greatest Common Factor of 501
Related Greatest Common Factor of 507
Frequently Asked Questions on GCF of 501 and 507
1. What is the GCF of 501 and 507?
Answer: GCF of 501 and 507 is 3.
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 507?
Answer: Factors of 507 are 1, 3, 13, 39, 169, 507. There are 6 integers that are factors of 507. The greatest factor of 507 is 507.
4. How to Find the GCF of 501 and 507?
Answer:
Greatest Common Factor of 501 and 507 = 3
Step 1: Find the prime factorization of 501
501 = 3 x 167
Step 2: Find the prime factorization of 507
507 = 3 x 13 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 501 and 507 is 3
