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 6374, 6380 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6374 and 6380 is 2.
GCF(6374,6380) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6374
2 | 6374 |
3187 | 3187 |
1 |
Prime factors of 6374 are 2,3187. Prime factorization of 6374 in exponential form is:
6374 = 21×31871
Prime Factorization of 6380
2 | 6380 |
2 | 3190 |
5 | 1595 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 6380 are 2,5,11,29. Prime factorization of 6380 in exponential form is:
6380 = 22×51×111×291
∴ So by taking common prime factors GCF of 6374 and 6380 is 2
Factors of 6374
List of positive integer factors of 6374 that divides 6374 without a remainder.
1,2,3187,6374
Factors of 6380
List of positive integer factors of 6380 that divides 6380 without a remainder.
1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380
Greatest Common Factor
We found the factors and prime factorization of 6374 and 6380. The biggest common factor number is the GCF number.
So the greatest common factor 6374 and 6380 is 2.
Also check out the Least Common Multiple of 6374 and 6380
(i) The GCF of 6374 and 6380 is associative
GCF of 6374 and 6380 = GCF of 6380 and 6374
1. What is the GCF of 6374 and 6380?
Answer: GCF of 6374 and 6380 is 2.
2. What are the Factors of 6374?
Answer: Factors of 6374 are 1, 2, 3187, 6374. There are 4 integers that are factors of 6374. The greatest factor of 6374 is 6374.
3. What are the Factors of 6380?
Answer: Factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380. There are 24 integers that are factors of 6380. The greatest factor of 6380 is 6380.
4. How to Find the GCF of 6374 and 6380?
Answer:
Greatest Common Factor of 6374 and 6380 = 2
Step 1: Find the prime factorization of 6374
6374 = 2 x 3187
Step 2: Find the prime factorization of 6380
6380 = 2 x 2 x 5 x 11 x 29
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 6374 and 6380 is 2