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 7072, 7074 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7072 and 7074 is 2.
GCF(7072,7074) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7072
2 | 7072 |
2 | 3536 |
2 | 1768 |
2 | 884 |
2 | 442 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 7072 are 2,13,17. Prime factorization of 7072 in exponential form is:
7072 = 25×131×171
Prime Factorization of 7074
2 | 7074 |
3 | 3537 |
3 | 1179 |
3 | 393 |
131 | 131 |
1 |
Prime factors of 7074 are 2,3,131. Prime factorization of 7074 in exponential form is:
7074 = 21×33×1311
∴ So by taking common prime factors GCF of 7072 and 7074 is 2
Factors of 7072
List of positive integer factors of 7072 that divides 7072 without a remainder.
1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Factors of 7074
List of positive integer factors of 7074 that divides 7074 without a remainder.
1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074
Greatest Common Factor
We found the factors and prime factorization of 7072 and 7074. The biggest common factor number is the GCF number.
So the greatest common factor 7072 and 7074 is 2.
Also check out the Least Common Multiple of 7072 and 7074
(i) The GCF of 7072 and 7074 is associative
GCF of 7072 and 7074 = GCF of 7074 and 7072
1. What is the GCF of 7072 and 7074?
Answer: GCF of 7072 and 7074 is 2.
2. What are the Factors of 7072?
Answer: Factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072. There are 24 integers that are factors of 7072. The greatest factor of 7072 is 7072.
3. What are the Factors of 7074?
Answer: Factors of 7074 are 1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074. There are 16 integers that are factors of 7074. The greatest factor of 7074 is 7074.
4. How to Find the GCF of 7072 and 7074?
Answer:
Greatest Common Factor of 7072 and 7074 = 2
Step 1: Find the prime factorization of 7072
7072 = 2 x 2 x 2 x 2 x 2 x 13 x 17
Step 2: Find the prime factorization of 7074
7074 = 2 x 3 x 3 x 3 x 131
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 7072 and 7074 is 2