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 1234, 1238 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1234 and 1238 is 2.
GCF(1234,1238) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1234
2 | 1234 |
617 | 617 |
1 |
Prime factors of 1234 are 2,617. Prime factorization of 1234 in exponential form is:
1234 = 21×6171
Prime Factorization of 1238
2 | 1238 |
619 | 619 |
1 |
Prime factors of 1238 are 2,619. Prime factorization of 1238 in exponential form is:
1238 = 21×6191
∴ So by taking common prime factors GCF of 1234 and 1238 is 2
Factors of 1234
List of positive integer factors of 1234 that divides 1234 without a remainder.
1,2,617,1234
Factors of 1238
List of positive integer factors of 1238 that divides 1238 without a remainder.
1,2,619,1238
Greatest Common Factor
We found the factors and prime factorization of 1234 and 1238. The biggest common factor number is the GCF number.
So the greatest common factor 1234 and 1238 is 2.
Also check out the Least Common Multiple of 1234 and 1238
(i) The GCF of 1234 and 1238 is associative
GCF of 1234 and 1238 = GCF of 1238 and 1234
1. What is the GCF of 1234 and 1238?
Answer: GCF of 1234 and 1238 is 2.
2. What are the Factors of 1234?
Answer: Factors of 1234 are 1, 2, 617, 1234. There are 4 integers that are factors of 1234. The greatest factor of 1234 is 1234.
3. What are the Factors of 1238?
Answer: Factors of 1238 are 1, 2, 619, 1238. There are 4 integers that are factors of 1238. The greatest factor of 1238 is 1238.
4. How to Find the GCF of 1234 and 1238?
Answer:
Greatest Common Factor of 1234 and 1238 = 2
Step 1: Find the prime factorization of 1234
1234 = 2 x 617
Step 2: Find the prime factorization of 1238
1238 = 2 x 619
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 1234 and 1238 is 2