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 8450, 8456 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8450 and 8456 is 2.
GCF(8450,8456) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8450
2 | 8450 |
5 | 4225 |
5 | 845 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 8450 are 2,5,13. Prime factorization of 8450 in exponential form is:
8450 = 21×52×132
Prime Factorization of 8456
2 | 8456 |
2 | 4228 |
2 | 2114 |
7 | 1057 |
151 | 151 |
1 |
Prime factors of 8456 are 2,7,151. Prime factorization of 8456 in exponential form is:
8456 = 23×71×1511
∴ So by taking common prime factors GCF of 8450 and 8456 is 2
Factors of 8450
List of positive integer factors of 8450 that divides 8450 without a remainder.
1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450
Factors of 8456
List of positive integer factors of 8456 that divides 8456 without a remainder.
1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456
Greatest Common Factor
We found the factors and prime factorization of 8450 and 8456. The biggest common factor number is the GCF number.
So the greatest common factor 8450 and 8456 is 2.
Also check out the Least Common Multiple of 8450 and 8456
(i) The GCF of 8450 and 8456 is associative
GCF of 8450 and 8456 = GCF of 8456 and 8450
1. What is the GCF of 8450 and 8456?
Answer: GCF of 8450 and 8456 is 2.
2. What are the Factors of 8450?
Answer: Factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450. There are 18 integers that are factors of 8450. The greatest factor of 8450 is 8450.
3. What are the Factors of 8456?
Answer: Factors of 8456 are 1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456. There are 16 integers that are factors of 8456. The greatest factor of 8456 is 8456.
4. How to Find the GCF of 8450 and 8456?
Answer:
Greatest Common Factor of 8450 and 8456 = 2
Step 1: Find the prime factorization of 8450
8450 = 2 x 5 x 5 x 13 x 13
Step 2: Find the prime factorization of 8456
8456 = 2 x 2 x 2 x 7 x 151
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 8450 and 8456 is 2