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 8570, 8577 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8570 and 8577 is 1.
GCF(8570,8577) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8570
2 | 8570 |
5 | 4285 |
857 | 857 |
1 |
Prime factors of 8570 are 2,5,857. Prime factorization of 8570 in exponential form is:
8570 = 21×51×8571
Prime Factorization of 8577
3 | 8577 |
3 | 2859 |
953 | 953 |
1 |
Prime factors of 8577 are 3,953. Prime factorization of 8577 in exponential form is:
8577 = 32×9531
∴ So by taking common prime factors GCF of 8570 and 8577 is 1
Factors of 8570
List of positive integer factors of 8570 that divides 8570 without a remainder.
1,2,5,10,857,1714,4285,8570
Factors of 8577
List of positive integer factors of 8577 that divides 8577 without a remainder.
1,3,9,953,2859,8577
Greatest Common Factor
We found the factors and prime factorization of 8570 and 8577. The biggest common factor number is the GCF number.
So the greatest common factor 8570 and 8577 is 1.
Also check out the Least Common Multiple of 8570 and 8577
(i) The GCF of 8570 and 8577 is associative
GCF of 8570 and 8577 = GCF of 8577 and 8570
1. What is the GCF of 8570 and 8577?
Answer: GCF of 8570 and 8577 is 1.
2. What are the Factors of 8570?
Answer: Factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570. There are 8 integers that are factors of 8570. The greatest factor of 8570 is 8570.
3. What are the Factors of 8577?
Answer: Factors of 8577 are 1, 3, 9, 953, 2859, 8577. There are 6 integers that are factors of 8577. The greatest factor of 8577 is 8577.
4. How to Find the GCF of 8570 and 8577?
Answer:
Greatest Common Factor of 8570 and 8577 = 1
Step 1: Find the prime factorization of 8570
8570 = 2 x 5 x 857
Step 2: Find the prime factorization of 8577
8577 = 3 x 3 x 953
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8570 and 8577 is 1