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 2491, 2492 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2491 and 2492 is 1.
GCF(2491,2492) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2491
47 | 2491 |
53 | 53 |
1 |
Prime factors of 2491 are 47,53. Prime factorization of 2491 in exponential form is:
2491 = 471×531
Prime Factorization of 2492
2 | 2492 |
2 | 1246 |
7 | 623 |
89 | 89 |
1 |
Prime factors of 2492 are 2,7,89. Prime factorization of 2492 in exponential form is:
2492 = 22×71×891
∴ So by taking common prime factors GCF of 2491 and 2492 is 1
Factors of 2491
List of positive integer factors of 2491 that divides 2491 without a remainder.
1,47,53,2491
Factors of 2492
List of positive integer factors of 2492 that divides 2492 without a remainder.
1,2,4,7,14,28,89,178,356,623,1246,2492
Greatest Common Factor
We found the factors and prime factorization of 2491 and 2492. The biggest common factor number is the GCF number.
So the greatest common factor 2491 and 2492 is 1.
Also check out the Least Common Multiple of 2491 and 2492
(i) The GCF of 2491 and 2492 is associative
GCF of 2491 and 2492 = GCF of 2492 and 2491
1. What is the GCF of 2491 and 2492?
Answer: GCF of 2491 and 2492 is 1.
2. What are the Factors of 2491?
Answer: Factors of 2491 are 1, 47, 53, 2491. There are 4 integers that are factors of 2491. The greatest factor of 2491 is 2491.
3. What are the Factors of 2492?
Answer: Factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492. There are 12 integers that are factors of 2492. The greatest factor of 2492 is 2492.
4. How to Find the GCF of 2491 and 2492?
Answer:
Greatest Common Factor of 2491 and 2492 = 1
Step 1: Find the prime factorization of 2491
2491 = 47 x 53
Step 2: Find the prime factorization of 2492
2492 = 2 x 2 x 7 x 89
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 2491 and 2492 is 1