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 2461, 2462 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2461 and 2462 is 1.
GCF(2461,2462) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2461
23 | 2461 |
107 | 107 |
1 |
Prime factors of 2461 are 23,107. Prime factorization of 2461 in exponential form is:
2461 = 231×1071
Prime Factorization of 2462
2 | 2462 |
1231 | 1231 |
1 |
Prime factors of 2462 are 2,1231. Prime factorization of 2462 in exponential form is:
2462 = 21×12311
∴ So by taking common prime factors GCF of 2461 and 2462 is 1
Factors of 2461
List of positive integer factors of 2461 that divides 2461 without a remainder.
1,23,107,2461
Factors of 2462
List of positive integer factors of 2462 that divides 2462 without a remainder.
1,2,1231,2462
Greatest Common Factor
We found the factors and prime factorization of 2461 and 2462. The biggest common factor number is the GCF number.
So the greatest common factor 2461 and 2462 is 1.
Also check out the Least Common Multiple of 2461 and 2462
(i) The GCF of 2461 and 2462 is associative
GCF of 2461 and 2462 = GCF of 2462 and 2461
1. What is the GCF of 2461 and 2462?
Answer: GCF of 2461 and 2462 is 1.
2. What are the Factors of 2461?
Answer: Factors of 2461 are 1, 23, 107, 2461. There are 4 integers that are factors of 2461. The greatest factor of 2461 is 2461.
3. What are the Factors of 2462?
Answer: Factors of 2462 are 1, 2, 1231, 2462. There are 4 integers that are factors of 2462. The greatest factor of 2462 is 2462.
4. How to Find the GCF of 2461 and 2462?
Answer:
Greatest Common Factor of 2461 and 2462 = 1
Step 1: Find the prime factorization of 2461
2461 = 23 x 107
Step 2: Find the prime factorization of 2462
2462 = 2 x 1231
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 2461 and 2462 is 1