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 732, 733 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 732 and 733 is 1.
GCF(732,733) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 732
2 | 732 |
2 | 366 |
3 | 183 |
61 | 61 |
1 |
Prime factors of 732 are 2,3,61. Prime factorization of 732 in exponential form is:
732 = 22×31×611
Prime Factorization of 733
733 | 733 |
1 |
Prime factors of 733 are 733. Prime factorization of 733 in exponential form is:
733 = 7331
∴ So by taking common prime factors GCF of 732 and 733 is 1
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors and prime factorization of 732 and 733. The biggest common factor number is the GCF number.
So the greatest common factor 732 and 733 is 1.
Also check out the Least Common Multiple of 732 and 733
(i) The GCF of 732 and 733 is associative
GCF of 732 and 733 = GCF of 733 and 732
1. What is the GCF of 732 and 733?
Answer: GCF of 732 and 733 is 1.
2. What are the Factors of 732?
Answer: Factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732. There are 12 integers that are factors of 732. The greatest factor of 732 is 732.
3. 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.
4. How to Find the GCF of 732 and 733?
Answer:
Greatest Common Factor of 732 and 733 = 1
Step 1: Find the prime factorization of 732
732 = 2 x 2 x 3 x 61
Step 2: Find the prime factorization of 733
733 = 733
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 732 and 733 is 1