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 6266, 6272 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6266 and 6272 is 2.
GCF(6266,6272) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6266
2 | 6266 |
13 | 3133 |
241 | 241 |
1 |
Prime factors of 6266 are 2,13,241. Prime factorization of 6266 in exponential form is:
6266 = 21×131×2411
Prime Factorization of 6272
2 | 6272 |
2 | 3136 |
2 | 1568 |
2 | 784 |
2 | 392 |
2 | 196 |
2 | 98 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 6272 are 2,7. Prime factorization of 6272 in exponential form is:
6272 = 27×72
∴ So by taking common prime factors GCF of 6266 and 6272 is 2
Factors of 6266
List of positive integer factors of 6266 that divides 6266 without a remainder.
1,2,13,26,241,482,3133,6266
Factors of 6272
List of positive integer factors of 6272 that divides 6272 without a remainder.
1,2,4,7,8,14,16,28,32,49,56,64,98,112,128,196,224,392,448,784,896,1568,3136,6272
Greatest Common Factor
We found the factors and prime factorization of 6266 and 6272. The biggest common factor number is the GCF number.
So the greatest common factor 6266 and 6272 is 2.
Also check out the Least Common Multiple of 6266 and 6272
(i) The GCF of 6266 and 6272 is associative
GCF of 6266 and 6272 = GCF of 6272 and 6266
1. What is the GCF of 6266 and 6272?
Answer: GCF of 6266 and 6272 is 2.
2. What are the Factors of 6266?
Answer: Factors of 6266 are 1, 2, 13, 26, 241, 482, 3133, 6266. There are 8 integers that are factors of 6266. The greatest factor of 6266 is 6266.
3. What are the Factors of 6272?
Answer: Factors of 6272 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 392, 448, 784, 896, 1568, 3136, 6272. There are 24 integers that are factors of 6272. The greatest factor of 6272 is 6272.
4. How to Find the GCF of 6266 and 6272?
Answer:
Greatest Common Factor of 6266 and 6272 = 2
Step 1: Find the prime factorization of 6266
6266 = 2 x 13 x 241
Step 2: Find the prime factorization of 6272
6272 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7
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 6266 and 6272 is 2