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 747, 753 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 747 and 753 is 3.
GCF(747,753) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 747
3 | 747 |
3 | 249 |
83 | 83 |
1 |
Prime factors of 747 are 3,83. Prime factorization of 747 in exponential form is:
747 = 32×831
Prime Factorization of 753
3 | 753 |
251 | 251 |
1 |
Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:
753 = 31×2511
∴ So by taking common prime factors GCF of 747 and 753 is 3
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Greatest Common Factor
We found the factors and prime factorization of 747 and 753. The biggest common factor number is the GCF number.
So the greatest common factor 747 and 753 is 3.
Also check out the Least Common Multiple of 747 and 753
(i) The GCF of 747 and 753 is associative
GCF of 747 and 753 = GCF of 753 and 747
1. What is the GCF of 747 and 753?
Answer: GCF of 747 and 753 is 3.
2. What are the Factors of 747?
Answer: Factors of 747 are 1, 3, 9, 83, 249, 747. There are 6 integers that are factors of 747. The greatest factor of 747 is 747.
3. What are the Factors of 753?
Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.
4. How to Find the GCF of 747 and 753?
Answer:
Greatest Common Factor of 747 and 753 = 3
Step 1: Find the prime factorization of 747
747 = 3 x 3 x 83
Step 2: Find the prime factorization of 753
753 = 3 x 251
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 747 and 753 is 3