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 5246, 5254 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5246 and 5254 is 2.
GCF(5246,5254) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5246
2 | 5246 |
43 | 2623 |
61 | 61 |
1 |
Prime factors of 5246 are 2,43,61. Prime factorization of 5246 in exponential form is:
5246 = 21×431×611
Prime Factorization of 5254
2 | 5254 |
37 | 2627 |
71 | 71 |
1 |
Prime factors of 5254 are 2,37,71. Prime factorization of 5254 in exponential form is:
5254 = 21×371×711
∴ So by taking common prime factors GCF of 5246 and 5254 is 2
Factors of 5246
List of positive integer factors of 5246 that divides 5246 without a remainder.
1,2,43,61,86,122,2623,5246
Factors of 5254
List of positive integer factors of 5254 that divides 5254 without a remainder.
1,2,37,71,74,142,2627,5254
Greatest Common Factor
We found the factors and prime factorization of 5246 and 5254. The biggest common factor number is the GCF number.
So the greatest common factor 5246 and 5254 is 2.
Also check out the Least Common Multiple of 5246 and 5254
(i) The GCF of 5246 and 5254 is associative
GCF of 5246 and 5254 = GCF of 5254 and 5246
1. What is the GCF of 5246 and 5254?
Answer: GCF of 5246 and 5254 is 2.
2. What are the Factors of 5246?
Answer: Factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246. There are 8 integers that are factors of 5246. The greatest factor of 5246 is 5246.
3. What are the Factors of 5254?
Answer: Factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254. There are 8 integers that are factors of 5254. The greatest factor of 5254 is 5254.
4. How to Find the GCF of 5246 and 5254?
Answer:
Greatest Common Factor of 5246 and 5254 = 2
Step 1: Find the prime factorization of 5246
5246 = 2 x 43 x 61
Step 2: Find the prime factorization of 5254
5254 = 2 x 37 x 71
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 5246 and 5254 is 2