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 6213, 6221 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6213 and 6221 is 1.
GCF(6213,6221) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6213
3 | 6213 |
19 | 2071 |
109 | 109 |
1 |
Prime factors of 6213 are 3,19,109. Prime factorization of 6213 in exponential form is:
6213 = 31×191×1091
Prime Factorization of 6221
6221 | 6221 |
1 |
Prime factors of 6221 are 6221. Prime factorization of 6221 in exponential form is:
6221 = 62211
∴ So by taking common prime factors GCF of 6213 and 6221 is 1
Factors of 6213
List of positive integer factors of 6213 that divides 6213 without a remainder.
1,3,19,57,109,327,2071,6213
Factors of 6221
List of positive integer factors of 6221 that divides 6221 without a remainder.
1,6221
Greatest Common Factor
We found the factors and prime factorization of 6213 and 6221. The biggest common factor number is the GCF number.
So the greatest common factor 6213 and 6221 is 1.
Also check out the Least Common Multiple of 6213 and 6221
(i) The GCF of 6213 and 6221 is associative
GCF of 6213 and 6221 = GCF of 6221 and 6213
1. What is the GCF of 6213 and 6221?
Answer: GCF of 6213 and 6221 is 1.
2. What are the Factors of 6213?
Answer: Factors of 6213 are 1, 3, 19, 57, 109, 327, 2071, 6213. There are 8 integers that are factors of 6213. The greatest factor of 6213 is 6213.
3. What are the Factors of 6221?
Answer: Factors of 6221 are 1, 6221. There are 2 integers that are factors of 6221. The greatest factor of 6221 is 6221.
4. How to Find the GCF of 6213 and 6221?
Answer:
Greatest Common Factor of 6213 and 6221 = 1
Step 1: Find the prime factorization of 6213
6213 = 3 x 19 x 109
Step 2: Find the prime factorization of 6221
6221 = 6221
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 6213 and 6221 is 1