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 1573, 1574 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1573 and 1574 is 1.
GCF(1573,1574) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1574
2 | 1574 |
787 | 787 |
1 |
Prime factors of 1574 are 2,787. Prime factorization of 1574 in exponential form is:
1574 = 21×7871
∴ So by taking common prime factors GCF of 1573 and 1574 is 1
Factors of 1573
List of positive integer factors of 1573 that divides 1573 without a remainder.
1,11,13,121,143,1573
Factors of 1574
List of positive integer factors of 1574 that divides 1574 without a remainder.
1,2,787,1574
Greatest Common Factor
We found the factors and prime factorization of 1573 and 1574. The biggest common factor number is the GCF number.
So the greatest common factor 1573 and 1574 is 1.
Also check out the Least Common Multiple of 1573 and 1574
(i) The GCF of 1573 and 1574 is associative
GCF of 1573 and 1574 = GCF of 1574 and 1573
1. What is the GCF of 1573 and 1574?
Answer: GCF of 1573 and 1574 is 1.
2. 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.
3. What are the Factors of 1574?
Answer: Factors of 1574 are 1, 2, 787, 1574. There are 4 integers that are factors of 1574. The greatest factor of 1574 is 1574.
4. How to Find the GCF of 1573 and 1574?
Answer:
Greatest Common Factor of 1573 and 1574 = 1
Step 1: Find the prime factorization of 1573
1573 = 11 x 11 x 13
Step 2: Find the prime factorization of 1574
1574 = 2 x 787
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 1573 and 1574 is 1