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 5206, 5207 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5206 and 5207 is 1.
GCF(5206,5207) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5207
41 | 5207 |
127 | 127 |
1 |
Prime factors of 5207 are 41,127. Prime factorization of 5207 in exponential form is:
5207 = 411×1271
∴ So by taking common prime factors GCF of 5206 and 5207 is 1
Factors of 5206
List of positive integer factors of 5206 that divides 5206 without a remainder.
1,2,19,38,137,274,2603,5206
Factors of 5207
List of positive integer factors of 5207 that divides 5207 without a remainder.
1,41,127,5207
Greatest Common Factor
We found the factors and prime factorization of 5206 and 5207. The biggest common factor number is the GCF number.
So the greatest common factor 5206 and 5207 is 1.
Also check out the Least Common Multiple of 5206 and 5207
(i) The GCF of 5206 and 5207 is associative
GCF of 5206 and 5207 = GCF of 5207 and 5206
1. What is the GCF of 5206 and 5207?
Answer: GCF of 5206 and 5207 is 1.
2. 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.
3. What are the Factors of 5207?
Answer: Factors of 5207 are 1, 41, 127, 5207. There are 4 integers that are factors of 5207. The greatest factor of 5207 is 5207.
4. How to Find the GCF of 5206 and 5207?
Answer:
Greatest Common Factor of 5206 and 5207 = 1
Step 1: Find the prime factorization of 5206
5206 = 2 x 19 x 137
Step 2: Find the prime factorization of 5207
5207 = 41 x 127
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 5206 and 5207 is 1