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 7112, 7119 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7112 and 7119 is 7.
GCF(7112,7119) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7112
2 | 7112 |
2 | 3556 |
2 | 1778 |
7 | 889 |
127 | 127 |
1 |
Prime factors of 7112 are 2,7,127. Prime factorization of 7112 in exponential form is:
7112 = 23×71×1271
Prime Factorization of 7119
3 | 7119 |
3 | 2373 |
7 | 791 |
113 | 113 |
1 |
Prime factors of 7119 are 3,7,113. Prime factorization of 7119 in exponential form is:
7119 = 32×71×1131
∴ So by taking common prime factors GCF of 7112 and 7119 is 7
Factors of 7112
List of positive integer factors of 7112 that divides 7112 without a remainder.
1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112
Factors of 7119
List of positive integer factors of 7119 that divides 7119 without a remainder.
1,3,7,9,21,63,113,339,791,1017,2373,7119
Greatest Common Factor
We found the factors and prime factorization of 7112 and 7119. The biggest common factor number is the GCF number.
So the greatest common factor 7112 and 7119 is 7.
Also check out the Least Common Multiple of 7112 and 7119
(i) The GCF of 7112 and 7119 is associative
GCF of 7112 and 7119 = GCF of 7119 and 7112
1. What is the GCF of 7112 and 7119?
Answer: GCF of 7112 and 7119 is 7.
2. What are the Factors of 7112?
Answer: Factors of 7112 are 1, 2, 4, 7, 8, 14, 28, 56, 127, 254, 508, 889, 1016, 1778, 3556, 7112. There are 16 integers that are factors of 7112. The greatest factor of 7112 is 7112.
3. What are the Factors of 7119?
Answer: Factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119. There are 12 integers that are factors of 7119. The greatest factor of 7119 is 7119.
4. How to Find the GCF of 7112 and 7119?
Answer:
Greatest Common Factor of 7112 and 7119 = 7
Step 1: Find the prime factorization of 7112
7112 = 2 x 2 x 2 x 7 x 127
Step 2: Find the prime factorization of 7119
7119 = 3 x 3 x 7 x 113
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 7112 and 7119 is 7