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 5219, 5222 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5219 and 5222 is 1.
GCF(5219,5222) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5219
17 | 5219 |
307 | 307 |
1 |
Prime factors of 5219 are 17,307. Prime factorization of 5219 in exponential form is:
5219 = 171×3071
Prime Factorization of 5222
2 | 5222 |
7 | 2611 |
373 | 373 |
1 |
Prime factors of 5222 are 2,7,373. Prime factorization of 5222 in exponential form is:
5222 = 21×71×3731
∴ So by taking common prime factors GCF of 5219 and 5222 is 1
Factors of 5219
List of positive integer factors of 5219 that divides 5219 without a remainder.
1,17,307,5219
Factors of 5222
List of positive integer factors of 5222 that divides 5222 without a remainder.
1,2,7,14,373,746,2611,5222
Greatest Common Factor
We found the factors and prime factorization of 5219 and 5222. The biggest common factor number is the GCF number.
So the greatest common factor 5219 and 5222 is 1.
Also check out the Least Common Multiple of 5219 and 5222
(i) The GCF of 5219 and 5222 is associative
GCF of 5219 and 5222 = GCF of 5222 and 5219
1. What is the GCF of 5219 and 5222?
Answer: GCF of 5219 and 5222 is 1.
2. What are the Factors of 5219?
Answer: Factors of 5219 are 1, 17, 307, 5219. There are 4 integers that are factors of 5219. The greatest factor of 5219 is 5219.
3. What are the Factors of 5222?
Answer: Factors of 5222 are 1, 2, 7, 14, 373, 746, 2611, 5222. There are 8 integers that are factors of 5222. The greatest factor of 5222 is 5222.
4. How to Find the GCF of 5219 and 5222?
Answer:
Greatest Common Factor of 5219 and 5222 = 1
Step 1: Find the prime factorization of 5219
5219 = 17 x 307
Step 2: Find the prime factorization of 5222
5222 = 2 x 7 x 373
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 5219 and 5222 is 1