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 733, 736 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 733 and 736 is 1.
GCF(733,736) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 733
733 | 733 |
1 |
Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:
733 = 7331
Prime Factorization of 736
2 | 736 |
2 | 368 |
2 | 184 |
2 | 92 |
2 | 46 |
23 | 23 |
1 |
Prime factors of 736 are 2.Prime factorization of 736 in exponential form is:
736 = 25×231
∴ So by taking common prime factors GCF of 733 and 736 is 1
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Greatest Common Factor
We found the factors and prime factorization of 733 and 736. The biggest common factor number is the GCF number.
So the greatest common factor 733 and 736 is 1.
Also check out the Least Common Multiple of 733 and 736
(i) The GCF of 733 and 736 is associative
GCF of 733 and 736 = GCF of 736 and 733
1. What is the GCF of 733 and 736?
Answer: GCF of 733 and 736 is 1.
2. What are the Factors of 733?
Answer: Factors of 733 are 1, 733. There are 2 integers that are factors of 733. The greatest factor of 733 is 733.
3. What are the Factors of 736?
Answer: Factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. There are 12 integers that are factors of 736. The greatest factor of 736 is 736.
4. How to Find the GCF of 733 and 736?
Answer:
Greatest Common Factor of 733 and 736 = 1
Step 1: Find the prime factorization of 733
733 = 733
Step 2: Find the prime factorization of 736
736 = 2 x 2 x 2 x 2 x 2 x 23
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 733 and 736 is 1