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, 8572 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8570 and 8572 is 2.
GCF(8570,8572) = 2
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 8572
2 | 8572 |
2 | 4286 |
2143 | 2143 |
1 |
Prime factors of 8572 are 2,2143. Prime factorization of 8572 in exponential form is:
8572 = 22×21431
∴ So by taking common prime factors GCF of 8570 and 8572 is 2
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 8572
List of positive integer factors of 8572 that divides 8572 without a remainder.
1,2,4,2143,4286,8572
Greatest Common Factor
We found the factors and prime factorization of 8570 and 8572. The biggest common factor number is the GCF number.
So the greatest common factor 8570 and 8572 is 2.
Also check out the Least Common Multiple of 8570 and 8572
(i) The GCF of 8570 and 8572 is associative
GCF of 8570 and 8572 = GCF of 8572 and 8570
1. What is the GCF of 8570 and 8572?
Answer: GCF of 8570 and 8572 is 2.
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 8572?
Answer: Factors of 8572 are 1, 2, 4, 2143, 4286, 8572. There are 6 integers that are factors of 8572. The greatest factor of 8572 is 8572.
4. How to Find the GCF of 8570 and 8572?
Answer:
Greatest Common Factor of 8570 and 8572 = 2
Step 1: Find the prime factorization of 8570
8570 = 2 x 5 x 857
Step 2: Find the prime factorization of 8572
8572 = 2 x 2 x 2143
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 8570 and 8572 is 2