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 1644, 1652 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1644 and 1652 is 4.
GCF(1644,1652) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1644
2 | 1644 |
2 | 822 |
3 | 411 |
137 | 137 |
1 |
Prime factors of 1644 are 2,3,137. Prime factorization of 1644 in exponential form is:
1644 = 22×31×1371
Prime Factorization of 1652
2 | 1652 |
2 | 826 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 1652 are 2,7,59. Prime factorization of 1652 in exponential form is:
1652 = 22×71×591
∴ So by taking common prime factors GCF of 1644 and 1652 is 4
Factors of 1644
List of positive integer factors of 1644 that divides 1644 without a remainder.
1,2,3,4,6,12,137,274,411,548,822,1644
Factors of 1652
List of positive integer factors of 1652 that divides 1652 without a remainder.
1,2,4,7,14,28,59,118,236,413,826,1652
Greatest Common Factor
We found the factors and prime factorization of 1644 and 1652. The biggest common factor number is the GCF number.
So the greatest common factor 1644 and 1652 is 4.
Also check out the Least Common Multiple of 1644 and 1652
(i) The GCF of 1644 and 1652 is associative
GCF of 1644 and 1652 = GCF of 1652 and 1644
1. What is the GCF of 1644 and 1652?
Answer: GCF of 1644 and 1652 is 4.
2. What are the Factors of 1644?
Answer: Factors of 1644 are 1, 2, 3, 4, 6, 12, 137, 274, 411, 548, 822, 1644. There are 12 integers that are factors of 1644. The greatest factor of 1644 is 1644.
3. What are the Factors of 1652?
Answer: Factors of 1652 are 1, 2, 4, 7, 14, 28, 59, 118, 236, 413, 826, 1652. There are 12 integers that are factors of 1652. The greatest factor of 1652 is 1652.
4. How to Find the GCF of 1644 and 1652?
Answer:
Greatest Common Factor of 1644 and 1652 = 4
Step 1: Find the prime factorization of 1644
1644 = 2 x 2 x 3 x 137
Step 2: Find the prime factorization of 1652
1652 = 2 x 2 x 7 x 59
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 1644 and 1652 is 4