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 6350, 6352 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6350 and 6352 is 2.
GCF(6350,6352) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6350
2 | 6350 |
5 | 3175 |
5 | 635 |
127 | 127 |
1 |
Prime factors of 6350 are 2,5,127. Prime factorization of 6350 in exponential form is:
6350 = 21×52×1271
Prime Factorization of 6352
2 | 6352 |
2 | 3176 |
2 | 1588 |
2 | 794 |
397 | 397 |
1 |
Prime factors of 6352 are 2,397. Prime factorization of 6352 in exponential form is:
6352 = 24×3971
∴ So by taking common prime factors GCF of 6350 and 6352 is 2
Factors of 6350
List of positive integer factors of 6350 that divides 6350 without a remainder.
1,2,5,10,25,50,127,254,635,1270,3175,6350
Factors of 6352
List of positive integer factors of 6352 that divides 6352 without a remainder.
1,2,4,8,16,397,794,1588,3176,6352
Greatest Common Factor
We found the factors and prime factorization of 6350 and 6352. The biggest common factor number is the GCF number.
So the greatest common factor 6350 and 6352 is 2.
Also check out the Least Common Multiple of 6350 and 6352
(i) The GCF of 6350 and 6352 is associative
GCF of 6350 and 6352 = GCF of 6352 and 6350
1. What is the GCF of 6350 and 6352?
Answer: GCF of 6350 and 6352 is 2.
2. What are the Factors of 6350?
Answer: Factors of 6350 are 1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350. There are 12 integers that are factors of 6350. The greatest factor of 6350 is 6350.
3. What are the Factors of 6352?
Answer: Factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352. There are 10 integers that are factors of 6352. The greatest factor of 6352 is 6352.
4. How to Find the GCF of 6350 and 6352?
Answer:
Greatest Common Factor of 6350 and 6352 = 2
Step 1: Find the prime factorization of 6350
6350 = 2 x 5 x 5 x 127
Step 2: Find the prime factorization of 6352
6352 = 2 x 2 x 2 x 2 x 397
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 6350 and 6352 is 2