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 746, 747 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 746 and 747 is 1.
GCF(746,747) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 746
2 | 746 |
373 | 373 |
1 |
Prime factors of 746 are 2,373. Prime factorization of 746 in exponential form is:
746 = 21×3731
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
∴ So by taking common prime factors GCF of 746 and 747 is 1
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors and prime factorization of 746 and 747. The biggest common factor number is the GCF number.
So the greatest common factor 746 and 747 is 1.
Also check out the Least Common Multiple of 746 and 747
(i) The GCF of 746 and 747 is associative
GCF of 746 and 747 = GCF of 747 and 746
1. What is the GCF of 746 and 747?
Answer: GCF of 746 and 747 is 1.
2. What are the Factors of 746?
Answer: Factors of 746 are 1, 2, 373, 746. There are 4 integers that are factors of 746. The greatest factor of 746 is 746.
3. 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.
4. How to Find the GCF of 746 and 747?
Answer:
Greatest Common Factor of 746 and 747 = 1
Step 1: Find the prime factorization of 746
746 = 2 x 373
Step 2: Find the prime factorization of 747
747 = 3 x 3 x 83
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 746 and 747 is 1