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 7122, 7126 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7122 and 7126 is 2.
GCF(7122,7126) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7122
2 | 7122 |
3 | 3561 |
1187 | 1187 |
1 |
Prime factors of 7122 are 2,3,1187. Prime factorization of 7122 in exponential form is:
7122 = 21×31×11871
Prime Factorization of 7126
2 | 7126 |
7 | 3563 |
509 | 509 |
1 |
Prime factors of 7126 are 2,7,509. Prime factorization of 7126 in exponential form is:
7126 = 21×71×5091
∴ So by taking common prime factors GCF of 7122 and 7126 is 2
Factors of 7122
List of positive integer factors of 7122 that divides 7122 without a remainder.
1,2,3,6,1187,2374,3561,7122
Factors of 7126
List of positive integer factors of 7126 that divides 7126 without a remainder.
1,2,7,14,509,1018,3563,7126
Greatest Common Factor
We found the factors and prime factorization of 7122 and 7126. The biggest common factor number is the GCF number.
So the greatest common factor 7122 and 7126 is 2.
Also check out the Least Common Multiple of 7122 and 7126
(i) The GCF of 7122 and 7126 is associative
GCF of 7122 and 7126 = GCF of 7126 and 7122
1. What is the GCF of 7122 and 7126?
Answer: GCF of 7122 and 7126 is 2.
2. What are the Factors of 7122?
Answer: Factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122. There are 8 integers that are factors of 7122. The greatest factor of 7122 is 7122.
3. What are the Factors of 7126?
Answer: Factors of 7126 are 1, 2, 7, 14, 509, 1018, 3563, 7126. There are 8 integers that are factors of 7126. The greatest factor of 7126 is 7126.
4. How to Find the GCF of 7122 and 7126?
Answer:
Greatest Common Factor of 7122 and 7126 = 2
Step 1: Find the prime factorization of 7122
7122 = 2 x 3 x 1187
Step 2: Find the prime factorization of 7126
7126 = 2 x 7 x 509
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 7122 and 7126 is 2