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 2412, 2417 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2412 and 2417 is 1.
GCF(2412,2417) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2412
2 | 2412 |
2 | 1206 |
3 | 603 |
3 | 201 |
67 | 67 |
1 |
Prime factors of 2412 are 2,3,67. Prime factorization of 2412 in exponential form is:
2412 = 22×32×671
Prime Factorization of 2417
2417 | 2417 |
1 |
Prime factors of 2417 are 2417. Prime factorization of 2417 in exponential form is:
2417 = 24171
∴ So by taking common prime factors GCF of 2412 and 2417 is 1
Factors of 2412
List of positive integer factors of 2412 that divides 2412 without a remainder.
1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412
Factors of 2417
List of positive integer factors of 2417 that divides 2417 without a remainder.
1,2417
Greatest Common Factor
We found the factors and prime factorization of 2412 and 2417. The biggest common factor number is the GCF number.
So the greatest common factor 2412 and 2417 is 1.
Also check out the Least Common Multiple of 2412 and 2417
(i) The GCF of 2412 and 2417 is associative
GCF of 2412 and 2417 = GCF of 2417 and 2412
1. What is the GCF of 2412 and 2417?
Answer: GCF of 2412 and 2417 is 1.
2. What are the Factors of 2412?
Answer: Factors of 2412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412. There are 18 integers that are factors of 2412. The greatest factor of 2412 is 2412.
3. What are the Factors of 2417?
Answer: Factors of 2417 are 1, 2417. There are 2 integers that are factors of 2417. The greatest factor of 2417 is 2417.
4. How to Find the GCF of 2412 and 2417?
Answer:
Greatest Common Factor of 2412 and 2417 = 1
Step 1: Find the prime factorization of 2412
2412 = 2 x 2 x 3 x 3 x 67
Step 2: Find the prime factorization of 2417
2417 = 2417
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 2412 and 2417 is 1