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 7142, 7144 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7142 and 7144 is 2.
GCF(7142,7144) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7142
2 | 7142 |
3571 | 3571 |
1 |
Prime factors of 7142 are 2,3571. Prime factorization of 7142 in exponential form is:
7142 = 21×35711
Prime Factorization of 7144
2 | 7144 |
2 | 3572 |
2 | 1786 |
19 | 893 |
47 | 47 |
1 |
Prime factors of 7144 are 2,19,47. Prime factorization of 7144 in exponential form is:
7144 = 23×191×471
∴ So by taking common prime factors GCF of 7142 and 7144 is 2
Factors of 7142
List of positive integer factors of 7142 that divides 7142 without a remainder.
1,2,3571,7142
Factors of 7144
List of positive integer factors of 7144 that divides 7144 without a remainder.
1,2,4,8,19,38,47,76,94,152,188,376,893,1786,3572,7144
Greatest Common Factor
We found the factors and prime factorization of 7142 and 7144. The biggest common factor number is the GCF number.
So the greatest common factor 7142 and 7144 is 2.
Also check out the Least Common Multiple of 7142 and 7144
(i) The GCF of 7142 and 7144 is associative
GCF of 7142 and 7144 = GCF of 7144 and 7142
1. What is the GCF of 7142 and 7144?
Answer: GCF of 7142 and 7144 is 2.
2. What are the Factors of 7142?
Answer: Factors of 7142 are 1, 2, 3571, 7142. There are 4 integers that are factors of 7142. The greatest factor of 7142 is 7142.
3. What are the Factors of 7144?
Answer: Factors of 7144 are 1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144. There are 16 integers that are factors of 7144. The greatest factor of 7144 is 7144.
4. How to Find the GCF of 7142 and 7144?
Answer:
Greatest Common Factor of 7142 and 7144 = 2
Step 1: Find the prime factorization of 7142
7142 = 2 x 3571
Step 2: Find the prime factorization of 7144
7144 = 2 x 2 x 2 x 19 x 47
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 7142 and 7144 is 2