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 2414, 2416 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2414 and 2416 is 2.
GCF(2414,2416) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2414
2 | 2414 |
17 | 1207 |
71 | 71 |
1 |
Prime factors of 2414 are 2,17,71. Prime factorization of 2414 in exponential form is:
2414 = 21×171×711
Prime Factorization of 2416
2 | 2416 |
2 | 1208 |
2 | 604 |
2 | 302 |
151 | 151 |
1 |
Prime factors of 2416 are 2,151. Prime factorization of 2416 in exponential form is:
2416 = 24×1511
∴ So by taking common prime factors GCF of 2414 and 2416 is 2
Factors of 2414
List of positive integer factors of 2414 that divides 2414 without a remainder.
1,2,17,34,71,142,1207,2414
Factors of 2416
List of positive integer factors of 2416 that divides 2416 without a remainder.
1,2,4,8,16,151,302,604,1208,2416
Greatest Common Factor
We found the factors and prime factorization of 2414 and 2416. The biggest common factor number is the GCF number.
So the greatest common factor 2414 and 2416 is 2.
Also check out the Least Common Multiple of 2414 and 2416
(i) The GCF of 2414 and 2416 is associative
GCF of 2414 and 2416 = GCF of 2416 and 2414
1. What is the GCF of 2414 and 2416?
Answer: GCF of 2414 and 2416 is 2.
2. What are the Factors of 2414?
Answer: Factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414. There are 8 integers that are factors of 2414. The greatest factor of 2414 is 2414.
3. What are the Factors of 2416?
Answer: Factors of 2416 are 1, 2, 4, 8, 16, 151, 302, 604, 1208, 2416. There are 10 integers that are factors of 2416. The greatest factor of 2416 is 2416.
4. How to Find the GCF of 2414 and 2416?
Answer:
Greatest Common Factor of 2414 and 2416 = 2
Step 1: Find the prime factorization of 2414
2414 = 2 x 17 x 71
Step 2: Find the prime factorization of 2416
2416 = 2 x 2 x 2 x 2 x 151
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 2414 and 2416 is 2