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 7467, 7474 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7467 and 7474 is 1.
GCF(7467,7474) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7467
3 | 7467 |
19 | 2489 |
131 | 131 |
1 |
Prime factors of 7467 are 3,19,131. Prime factorization of 7467 in exponential form is:
7467 = 31×191×1311
Prime Factorization of 7474
2 | 7474 |
37 | 3737 |
101 | 101 |
1 |
Prime factors of 7474 are 2,37,101. Prime factorization of 7474 in exponential form is:
7474 = 21×371×1011
∴ So by taking common prime factors GCF of 7467 and 7474 is 1
Factors of 7467
List of positive integer factors of 7467 that divides 7467 without a remainder.
1,3,19,57,131,393,2489,7467
Factors of 7474
List of positive integer factors of 7474 that divides 7474 without a remainder.
1,2,37,74,101,202,3737,7474
Greatest Common Factor
We found the factors and prime factorization of 7467 and 7474. The biggest common factor number is the GCF number.
So the greatest common factor 7467 and 7474 is 1.
Also check out the Least Common Multiple of 7467 and 7474
(i) The GCF of 7467 and 7474 is associative
GCF of 7467 and 7474 = GCF of 7474 and 7467
1. What is the GCF of 7467 and 7474?
Answer: GCF of 7467 and 7474 is 1.
2. What are the Factors of 7467?
Answer: Factors of 7467 are 1, 3, 19, 57, 131, 393, 2489, 7467. There are 8 integers that are factors of 7467. The greatest factor of 7467 is 7467.
3. What are the Factors of 7474?
Answer: Factors of 7474 are 1, 2, 37, 74, 101, 202, 3737, 7474. There are 8 integers that are factors of 7474. The greatest factor of 7474 is 7474.
4. How to Find the GCF of 7467 and 7474?
Answer:
Greatest Common Factor of 7467 and 7474 = 1
Step 1: Find the prime factorization of 7467
7467 = 3 x 19 x 131
Step 2: Find the prime factorization of 7474
7474 = 2 x 37 x 101
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 7467 and 7474 is 1