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 9070, 9078 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9070 and 9078 is 2.
GCF(9070,9078) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9070
2 | 9070 |
5 | 4535 |
907 | 907 |
1 |
Prime factors of 9070 are 2,5,907. Prime factorization of 9070 in exponential form is:
9070 = 21×51×9071
Prime Factorization of 9078
2 | 9078 |
3 | 4539 |
17 | 1513 |
89 | 89 |
1 |
Prime factors of 9078 are 2,3,17,89. Prime factorization of 9078 in exponential form is:
9078 = 21×31×171×891
∴ So by taking common prime factors GCF of 9070 and 9078 is 2
Factors of 9070
List of positive integer factors of 9070 that divides 9070 without a remainder.
1,2,5,10,907,1814,4535,9070
Factors of 9078
List of positive integer factors of 9078 that divides 9078 without a remainder.
1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078
Greatest Common Factor
We found the factors and prime factorization of 9070 and 9078. The biggest common factor number is the GCF number.
So the greatest common factor 9070 and 9078 is 2.
Also check out the Least Common Multiple of 9070 and 9078
(i) The GCF of 9070 and 9078 is associative
GCF of 9070 and 9078 = GCF of 9078 and 9070
1. What is the GCF of 9070 and 9078?
Answer: GCF of 9070 and 9078 is 2.
2. What are the Factors of 9070?
Answer: Factors of 9070 are 1, 2, 5, 10, 907, 1814, 4535, 9070. There are 8 integers that are factors of 9070. The greatest factor of 9070 is 9070.
3. What are the Factors of 9078?
Answer: Factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078. There are 16 integers that are factors of 9078. The greatest factor of 9078 is 9078.
4. How to Find the GCF of 9070 and 9078?
Answer:
Greatest Common Factor of 9070 and 9078 = 2
Step 1: Find the prime factorization of 9070
9070 = 2 x 5 x 907
Step 2: Find the prime factorization of 9078
9078 = 2 x 3 x 17 x 89
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9070 and 9078 is 2