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 7486, 7494 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7486 and 7494 is 2.
GCF(7486,7494) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7486
2 | 7486 |
19 | 3743 |
197 | 197 |
1 |
Prime factors of 7486 are 2,19,197. Prime factorization of 7486 in exponential form is:
7486 = 21×191×1971
Prime Factorization of 7494
2 | 7494 |
3 | 3747 |
1249 | 1249 |
1 |
Prime factors of 7494 are 2,3,1249. Prime factorization of 7494 in exponential form is:
7494 = 21×31×12491
∴ So by taking common prime factors GCF of 7486 and 7494 is 2
Factors of 7486
List of positive integer factors of 7486 that divides 7486 without a remainder.
1,2,19,38,197,394,3743,7486
Factors of 7494
List of positive integer factors of 7494 that divides 7494 without a remainder.
1,2,3,6,1249,2498,3747,7494
Greatest Common Factor
We found the factors and prime factorization of 7486 and 7494. The biggest common factor number is the GCF number.
So the greatest common factor 7486 and 7494 is 2.
Also check out the Least Common Multiple of 7486 and 7494
(i) The GCF of 7486 and 7494 is associative
GCF of 7486 and 7494 = GCF of 7494 and 7486
1. What is the GCF of 7486 and 7494?
Answer: GCF of 7486 and 7494 is 2.
2. What are the Factors of 7486?
Answer: Factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486. There are 8 integers that are factors of 7486. The greatest factor of 7486 is 7486.
3. What are the Factors of 7494?
Answer: Factors of 7494 are 1, 2, 3, 6, 1249, 2498, 3747, 7494. There are 8 integers that are factors of 7494. The greatest factor of 7494 is 7494.
4. How to Find the GCF of 7486 and 7494?
Answer:
Greatest Common Factor of 7486 and 7494 = 2
Step 1: Find the prime factorization of 7486
7486 = 2 x 19 x 197
Step 2: Find the prime factorization of 7494
7494 = 2 x 3 x 1249
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 7486 and 7494 is 2