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 1780, 1788 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1780 and 1788 is 4.
GCF(1780,1788) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1780
2 | 1780 |
2 | 890 |
5 | 445 |
89 | 89 |
1 |
Prime factors of 1780 are 2,5,89. Prime factorization of 1780 in exponential form is:
1780 = 22×51×891
Prime Factorization of 1788
2 | 1788 |
2 | 894 |
3 | 447 |
149 | 149 |
1 |
Prime factors of 1788 are 2,3,149. Prime factorization of 1788 in exponential form is:
1788 = 22×31×1491
∴ So by taking common prime factors GCF of 1780 and 1788 is 4
Factors of 1780
List of positive integer factors of 1780 that divides 1780 without a remainder.
1,2,4,5,10,20,89,178,356,445,890,1780
Factors of 1788
List of positive integer factors of 1788 that divides 1788 without a remainder.
1,2,3,4,6,12,149,298,447,596,894,1788
Greatest Common Factor
We found the factors and prime factorization of 1780 and 1788. The biggest common factor number is the GCF number.
So the greatest common factor 1780 and 1788 is 4.
Also check out the Least Common Multiple of 1780 and 1788
(i) The GCF of 1780 and 1788 is associative
GCF of 1780 and 1788 = GCF of 1788 and 1780
1. What is the GCF of 1780 and 1788?
Answer: GCF of 1780 and 1788 is 4.
2. What are the Factors of 1780?
Answer: Factors of 1780 are 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890, 1780. There are 12 integers that are factors of 1780. The greatest factor of 1780 is 1780.
3. What are the Factors of 1788?
Answer: Factors of 1788 are 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788. There are 12 integers that are factors of 1788. The greatest factor of 1788 is 1788.
4. How to Find the GCF of 1780 and 1788?
Answer:
Greatest Common Factor of 1780 and 1788 = 4
Step 1: Find the prime factorization of 1780
1780 = 2 x 2 x 5 x 89
Step 2: Find the prime factorization of 1788
1788 = 2 x 2 x 3 x 149
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1780 and 1788 is 4