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 1570, 1573 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1570 and 1573 is 1.
GCF(1570,1573) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1570
2 | 1570 |
5 | 785 |
157 | 157 |
1 |
Prime factors of 1570 are 2,5,157. Prime factorization of 1570 in exponential form is:
1570 = 21×51×1571
Prime Factorization of 1573
11 | 1573 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 1573 are 11,13. Prime factorization of 1573 in exponential form is:
1573 = 112×131
∴ So by taking common prime factors GCF of 1570 and 1573 is 1
Factors of 1570
List of positive integer factors of 1570 that divides 1570 without a remainder.
1,2,5,10,157,314,785,1570
Factors of 1573
List of positive integer factors of 1573 that divides 1573 without a remainder.
1,11,13,121,143,1573
Greatest Common Factor
We found the factors and prime factorization of 1570 and 1573. The biggest common factor number is the GCF number.
So the greatest common factor 1570 and 1573 is 1.
Also check out the Least Common Multiple of 1570 and 1573
(i) The GCF of 1570 and 1573 is associative
GCF of 1570 and 1573 = GCF of 1573 and 1570
1. What is the GCF of 1570 and 1573?
Answer: GCF of 1570 and 1573 is 1.
2. What are the Factors of 1570?
Answer: Factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570. There are 8 integers that are factors of 1570. The greatest factor of 1570 is 1570.
3. What are the Factors of 1573?
Answer: Factors of 1573 are 1, 11, 13, 121, 143, 1573. There are 6 integers that are factors of 1573. The greatest factor of 1573 is 1573.
4. How to Find the GCF of 1570 and 1573?
Answer:
Greatest Common Factor of 1570 and 1573 = 1
Step 1: Find the prime factorization of 1570
1570 = 2 x 5 x 157
Step 2: Find the prime factorization of 1573
1573 = 11 x 11 x 13
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 1570 and 1573 is 1