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 1318, 1322 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1318 and 1322 is 2.
GCF(1318,1322) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1318
2 | 1318 |
659 | 659 |
1 |
Prime factors of 1318 are 2,659. Prime factorization of 1318 in exponential form is:
1318 = 21×6591
Prime Factorization of 1322
2 | 1322 |
661 | 661 |
1 |
Prime factors of 1322 are 2,661. Prime factorization of 1322 in exponential form is:
1322 = 21×6611
∴ So by taking common prime factors GCF of 1318 and 1322 is 2
Factors of 1318
List of positive integer factors of 1318 that divides 1318 without a remainder.
1,2,659,1318
Factors of 1322
List of positive integer factors of 1322 that divides 1322 without a remainder.
1,2,661,1322
Greatest Common Factor
We found the factors and prime factorization of 1318 and 1322. The biggest common factor number is the GCF number.
So the greatest common factor 1318 and 1322 is 2.
Also check out the Least Common Multiple of 1318 and 1322
(i) The GCF of 1318 and 1322 is associative
GCF of 1318 and 1322 = GCF of 1322 and 1318
1. What is the GCF of 1318 and 1322?
Answer: GCF of 1318 and 1322 is 2.
2. What are the Factors of 1318?
Answer: Factors of 1318 are 1, 2, 659, 1318. There are 4 integers that are factors of 1318. The greatest factor of 1318 is 1318.
3. What are the Factors of 1322?
Answer: Factors of 1322 are 1, 2, 661, 1322. There are 4 integers that are factors of 1322. The greatest factor of 1322 is 1322.
4. How to Find the GCF of 1318 and 1322?
Answer:
Greatest Common Factor of 1318 and 1322 = 2
Step 1: Find the prime factorization of 1318
1318 = 2 x 659
Step 2: Find the prime factorization of 1322
1322 = 2 x 661
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 1318 and 1322 is 2