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 1769, 1772 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1769 and 1772 is 1.
GCF(1769,1772) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1769
29 | 1769 |
61 | 61 |
1 |
Prime factors of 1769 are 29,61. Prime factorization of 1769 in exponential form is:
1769 = 291×611
Prime Factorization of 1772
2 | 1772 |
2 | 886 |
443 | 443 |
1 |
Prime factors of 1772 are 2,443. Prime factorization of 1772 in exponential form is:
1772 = 22×4431
∴ So by taking common prime factors GCF of 1769 and 1772 is 1
Factors of 1769
List of positive integer factors of 1769 that divides 1769 without a remainder.
1,29,61,1769
Factors of 1772
List of positive integer factors of 1772 that divides 1772 without a remainder.
1,2,4,443,886,1772
Greatest Common Factor
We found the factors and prime factorization of 1769 and 1772. The biggest common factor number is the GCF number.
So the greatest common factor 1769 and 1772 is 1.
Also check out the Least Common Multiple of 1769 and 1772
(i) The GCF of 1769 and 1772 is associative
GCF of 1769 and 1772 = GCF of 1772 and 1769
1. What is the GCF of 1769 and 1772?
Answer: GCF of 1769 and 1772 is 1.
2. What are the Factors of 1769?
Answer: Factors of 1769 are 1, 29, 61, 1769. There are 4 integers that are factors of 1769. The greatest factor of 1769 is 1769.
3. What are the Factors of 1772?
Answer: Factors of 1772 are 1, 2, 4, 443, 886, 1772. There are 6 integers that are factors of 1772. The greatest factor of 1772 is 1772.
4. How to Find the GCF of 1769 and 1772?
Answer:
Greatest Common Factor of 1769 and 1772 = 1
Step 1: Find the prime factorization of 1769
1769 = 29 x 61
Step 2: Find the prime factorization of 1772
1772 = 2 x 2 x 443
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 1769 and 1772 is 1