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 752, 759 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 752 and 759 is 1.
GCF(752,759) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 752
2 | 752 |
2 | 376 |
2 | 188 |
2 | 94 |
47 | 47 |
1 |
Prime factors of 752 are 2,47. Prime factorization of 752 in exponential form is:
752 = 24×471
Prime Factorization of 759
3 | 759 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 759 are 3,11,23. Prime factorization of 759 in exponential form is:
759 = 31×111×231
∴ So by taking common prime factors GCF of 752 and 759 is 1
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors and prime factorization of 752 and 759. The biggest common factor number is the GCF number.
So the greatest common factor 752 and 759 is 1.
Also check out the Least Common Multiple of 752 and 759
(i) The GCF of 752 and 759 is associative
GCF of 752 and 759 = GCF of 759 and 752
1. What is the GCF of 752 and 759?
Answer: GCF of 752 and 759 is 1.
2. What are the Factors of 752?
Answer: Factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752. There are 10 integers that are factors of 752. The greatest factor of 752 is 752.
3. What are the Factors of 759?
Answer: Factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759. There are 8 integers that are factors of 759. The greatest factor of 759 is 759.
4. How to Find the GCF of 752 and 759?
Answer:
Greatest Common Factor of 752 and 759 = 1
Step 1: Find the prime factorization of 752
752 = 2 x 2 x 2 x 2 x 47
Step 2: Find the prime factorization of 759
759 = 3 x 11 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 752 and 759 is 1