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 5202, 5206 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5202 and 5206 is 2.
GCF(5202,5206) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5202
2 | 5202 |
3 | 2601 |
3 | 867 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 5202 are 2,3,17. Prime factorization of 5202 in exponential form is:
5202 = 21×32×172
Prime Factorization of 5206
2 | 5206 |
19 | 2603 |
137 | 137 |
1 |
Prime factors of 5206 are 2,19,137. Prime factorization of 5206 in exponential form is:
5206 = 21×191×1371
∴ So by taking common prime factors GCF of 5202 and 5206 is 2
Factors of 5202
List of positive integer factors of 5202 that divides 5202 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202
Factors of 5206
List of positive integer factors of 5206 that divides 5206 without a remainder.
1,2,19,38,137,274,2603,5206
Greatest Common Factor
We found the factors and prime factorization of 5202 and 5206. The biggest common factor number is the GCF number.
So the greatest common factor 5202 and 5206 is 2.
Also check out the Least Common Multiple of 5202 and 5206
(i) The GCF of 5202 and 5206 is associative
GCF of 5202 and 5206 = GCF of 5206 and 5202
1. What is the GCF of 5202 and 5206?
Answer: GCF of 5202 and 5206 is 2.
2. What are the Factors of 5202?
Answer: Factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202. There are 18 integers that are factors of 5202. The greatest factor of 5202 is 5202.
3. What are the Factors of 5206?
Answer: Factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206. There are 8 integers that are factors of 5206. The greatest factor of 5206 is 5206.
4. How to Find the GCF of 5202 and 5206?
Answer:
Greatest Common Factor of 5202 and 5206 = 2
Step 1: Find the prime factorization of 5202
5202 = 2 x 3 x 3 x 17 x 17
Step 2: Find the prime factorization of 5206
5206 = 2 x 19 x 137
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 5202 and 5206 is 2