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 1233, 1240 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1233 and 1240 is 1.
GCF(1233,1240) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1233
3 | 1233 |
3 | 411 |
137 | 137 |
1 |
Prime factors of 1233 are 3,137. Prime factorization of 1233 in exponential form is:
1233 = 32×1371
Prime Factorization of 1240
2 | 1240 |
2 | 620 |
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 1240 are 2,5,31. Prime factorization of 1240 in exponential form is:
1240 = 23×51×311
∴ So by taking common prime factors GCF of 1233 and 1240 is 1
Factors of 1233
List of positive integer factors of 1233 that divides 1233 without a remainder.
1,3,9,137,411,1233
Factors of 1240
List of positive integer factors of 1240 that divides 1240 without a remainder.
1,2,4,5,8,10,20,31,40,62,124,155,248,310,620,1240
Greatest Common Factor
We found the factors and prime factorization of 1233 and 1240. The biggest common factor number is the GCF number.
So the greatest common factor 1233 and 1240 is 1.
Also check out the Least Common Multiple of 1233 and 1240
(i) The GCF of 1233 and 1240 is associative
GCF of 1233 and 1240 = GCF of 1240 and 1233
1. What is the GCF of 1233 and 1240?
Answer: GCF of 1233 and 1240 is 1.
2. What are the Factors of 1233?
Answer: Factors of 1233 are 1, 3, 9, 137, 411, 1233. There are 6 integers that are factors of 1233. The greatest factor of 1233 is 1233.
3. What are the Factors of 1240?
Answer: Factors of 1240 are 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240. There are 16 integers that are factors of 1240. The greatest factor of 1240 is 1240.
4. How to Find the GCF of 1233 and 1240?
Answer:
Greatest Common Factor of 1233 and 1240 = 1
Step 1: Find the prime factorization of 1233
1233 = 3 x 3 x 137
Step 2: Find the prime factorization of 1240
1240 = 2 x 2 x 2 x 5 x 31
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 1233 and 1240 is 1