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 5650, 5656 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5650 and 5656 is 2.
GCF(5650,5656) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5650
2 | 5650 |
5 | 2825 |
5 | 565 |
113 | 113 |
1 |
Prime factors of 5650 are 2,5,113. Prime factorization of 5650 in exponential form is:
5650 = 21×52×1131
Prime Factorization of 5656
2 | 5656 |
2 | 2828 |
2 | 1414 |
7 | 707 |
101 | 101 |
1 |
Prime factors of 5656 are 2,7,101. Prime factorization of 5656 in exponential form is:
5656 = 23×71×1011
∴ So by taking common prime factors GCF of 5650 and 5656 is 2
Factors of 5650
List of positive integer factors of 5650 that divides 5650 without a remainder.
1,2,5,10,25,50,113,226,565,1130,2825,5650
Factors of 5656
List of positive integer factors of 5656 that divides 5656 without a remainder.
1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656
Greatest Common Factor
We found the factors and prime factorization of 5650 and 5656. The biggest common factor number is the GCF number.
So the greatest common factor 5650 and 5656 is 2.
Also check out the Least Common Multiple of 5650 and 5656
(i) The GCF of 5650 and 5656 is associative
GCF of 5650 and 5656 = GCF of 5656 and 5650
1. What is the GCF of 5650 and 5656?
Answer: GCF of 5650 and 5656 is 2.
2. What are the Factors of 5650?
Answer: Factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650. There are 12 integers that are factors of 5650. The greatest factor of 5650 is 5650.
3. What are the Factors of 5656?
Answer: Factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656. There are 16 integers that are factors of 5656. The greatest factor of 5656 is 5656.
4. How to Find the GCF of 5650 and 5656?
Answer:
Greatest Common Factor of 5650 and 5656 = 2
Step 1: Find the prime factorization of 5650
5650 = 2 x 5 x 5 x 113
Step 2: Find the prime factorization of 5656
5656 = 2 x 2 x 2 x 7 x 101
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 5650 and 5656 is 2