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 9266, 9272 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9266 and 9272 is 2.
GCF(9266,9272) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9266
2 | 9266 |
41 | 4633 |
113 | 113 |
1 |
Prime factors of 9266 are 2,41,113. Prime factorization of 9266 in exponential form is:
9266 = 21×411×1131
Prime Factorization of 9272
2 | 9272 |
2 | 4636 |
2 | 2318 |
19 | 1159 |
61 | 61 |
1 |
Prime factors of 9272 are 2,19,61. Prime factorization of 9272 in exponential form is:
9272 = 23×191×611
∴ So by taking common prime factors GCF of 9266 and 9272 is 2
Factors of 9266
List of positive integer factors of 9266 that divides 9266 without a remainder.
1,2,41,82,113,226,4633,9266
Factors of 9272
List of positive integer factors of 9272 that divides 9272 without a remainder.
1,2,4,8,19,38,61,76,122,152,244,488,1159,2318,4636,9272
Greatest Common Factor
We found the factors and prime factorization of 9266 and 9272. The biggest common factor number is the GCF number.
So the greatest common factor 9266 and 9272 is 2.
Also check out the Least Common Multiple of 9266 and 9272
(i) The GCF of 9266 and 9272 is associative
GCF of 9266 and 9272 = GCF of 9272 and 9266
1. What is the GCF of 9266 and 9272?
Answer: GCF of 9266 and 9272 is 2.
2. What are the Factors of 9266?
Answer: Factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266. There are 8 integers that are factors of 9266. The greatest factor of 9266 is 9266.
3. What are the Factors of 9272?
Answer: Factors of 9272 are 1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272. There are 16 integers that are factors of 9272. The greatest factor of 9272 is 9272.
4. How to Find the GCF of 9266 and 9272?
Answer:
Greatest Common Factor of 9266 and 9272 = 2
Step 1: Find the prime factorization of 9266
9266 = 2 x 41 x 113
Step 2: Find the prime factorization of 9272
9272 = 2 x 2 x 2 x 19 x 61
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 9266 and 9272 is 2