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 7370, 7375 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7370 and 7375 is 5.
GCF(7370,7375) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7370
2 | 7370 |
5 | 3685 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 7370 are 2,5,11,67. Prime factorization of 7370 in exponential form is:
7370 = 21×51×111×671
Prime Factorization of 7375
5 | 7375 |
5 | 1475 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 7375 are 5,59. Prime factorization of 7375 in exponential form is:
7375 = 53×591
∴ So by taking common prime factors GCF of 7370 and 7375 is 5
Factors of 7370
List of positive integer factors of 7370 that divides 7370 without a remainder.
1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Factors of 7375
List of positive integer factors of 7375 that divides 7375 without a remainder.
1,5,25,59,125,295,1475,7375
Greatest Common Factor
We found the factors and prime factorization of 7370 and 7375. The biggest common factor number is the GCF number.
So the greatest common factor 7370 and 7375 is 5.
Also check out the Least Common Multiple of 7370 and 7375
(i) The GCF of 7370 and 7375 is associative
GCF of 7370 and 7375 = GCF of 7375 and 7370
1. What is the GCF of 7370 and 7375?
Answer: GCF of 7370 and 7375 is 5.
2. What are the Factors of 7370?
Answer: Factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370. There are 16 integers that are factors of 7370. The greatest factor of 7370 is 7370.
3. What are the Factors of 7375?
Answer: Factors of 7375 are 1, 5, 25, 59, 125, 295, 1475, 7375. There are 8 integers that are factors of 7375. The greatest factor of 7375 is 7375.
4. How to Find the GCF of 7370 and 7375?
Answer:
Greatest Common Factor of 7370 and 7375 = 5
Step 1: Find the prime factorization of 7370
7370 = 2 x 5 x 11 x 67
Step 2: Find the prime factorization of 7375
7375 = 5 x 5 x 5 x 59
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 7370 and 7375 is 5