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 748, 751 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 748 and 751 is 1.
GCF(748,751) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 748
2 | 748 |
2 | 374 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 748 are 2,11,17. Prime factorization of 748 in exponential form is:
748 = 22×111×171
Prime Factorization of 751
751 | 751 |
1 |
Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:
751 = 7511
∴ So by taking common prime factors GCF of 748 and 751 is 1
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Greatest Common Factor
We found the factors and prime factorization of 748 and 751. The biggest common factor number is the GCF number.
So the greatest common factor 748 and 751 is 1.
Also check out the Least Common Multiple of 748 and 751
(i) The GCF of 748 and 751 is associative
GCF of 748 and 751 = GCF of 751 and 748
1. What is the GCF of 748 and 751?
Answer: GCF of 748 and 751 is 1.
2. What are the Factors of 748?
Answer: Factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748. There are 12 integers that are factors of 748. The greatest factor of 748 is 748.
3. What are the Factors of 751?
Answer: Factors of 751 are 1, 751. There are 2 integers that are factors of 751. The greatest factor of 751 is 751.
4. How to Find the GCF of 748 and 751?
Answer:
Greatest Common Factor of 748 and 751 = 1
Step 1: Find the prime factorization of 748
748 = 2 x 2 x 11 x 17
Step 2: Find the prime factorization of 751
751 = 751
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 748 and 751 is 1