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 1396, 1402 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1396 and 1402 is 2.
GCF(1396,1402) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1396
2 | 1396 |
2 | 698 |
349 | 349 |
1 |
Prime factors of 1396 are 2,349. Prime factorization of 1396 in exponential form is:
1396 = 22×3491
Prime Factorization of 1402
2 | 1402 |
701 | 701 |
1 |
Prime factors of 1402 are 2,701. Prime factorization of 1402 in exponential form is:
1402 = 21×7011
∴ So by taking common prime factors GCF of 1396 and 1402 is 2
Factors of 1396
List of positive integer factors of 1396 that divides 1396 without a remainder.
1,2,4,349,698,1396
Factors of 1402
List of positive integer factors of 1402 that divides 1402 without a remainder.
1,2,701,1402
Greatest Common Factor
We found the factors and prime factorization of 1396 and 1402. The biggest common factor number is the GCF number.
So the greatest common factor 1396 and 1402 is 2.
Also check out the Least Common Multiple of 1396 and 1402
(i) The GCF of 1396 and 1402 is associative
GCF of 1396 and 1402 = GCF of 1402 and 1396
1. What is the GCF of 1396 and 1402?
Answer: GCF of 1396 and 1402 is 2.
2. What are the Factors of 1396?
Answer: Factors of 1396 are 1, 2, 4, 349, 698, 1396. There are 6 integers that are factors of 1396. The greatest factor of 1396 is 1396.
3. What are the Factors of 1402?
Answer: Factors of 1402 are 1, 2, 701, 1402. There are 4 integers that are factors of 1402. The greatest factor of 1402 is 1402.
4. How to Find the GCF of 1396 and 1402?
Answer:
Greatest Common Factor of 1396 and 1402 = 2
Step 1: Find the prime factorization of 1396
1396 = 2 x 2 x 349
Step 2: Find the prime factorization of 1402
1402 = 2 x 701
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 1396 and 1402 is 2