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 1620, 1624 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1620 and 1624 is 4.
GCF(1620,1624) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1620
2 | 1620 |
2 | 810 |
3 | 405 |
3 | 135 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 1620 are 2,3,5. Prime factorization of 1620 in exponential form is:
1620 = 22×34×51
Prime Factorization of 1624
2 | 1624 |
2 | 812 |
2 | 406 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 1624 are 2,7,29. Prime factorization of 1624 in exponential form is:
1624 = 23×71×291
∴ So by taking common prime factors GCF of 1620 and 1624 is 4
Factors of 1620
List of positive integer factors of 1620 that divides 1620 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620
Factors of 1624
List of positive integer factors of 1624 that divides 1624 without a remainder.
1,2,4,7,8,14,28,29,56,58,116,203,232,406,812,1624
Greatest Common Factor
We found the factors and prime factorization of 1620 and 1624. The biggest common factor number is the GCF number.
So the greatest common factor 1620 and 1624 is 4.
Also check out the Least Common Multiple of 1620 and 1624
(i) The GCF of 1620 and 1624 is associative
GCF of 1620 and 1624 = GCF of 1624 and 1620
1. What is the GCF of 1620 and 1624?
Answer: GCF of 1620 and 1624 is 4.
2. What are the Factors of 1620?
Answer: Factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620. There are 30 integers that are factors of 1620. The greatest factor of 1620 is 1620.
3. What are the Factors of 1624?
Answer: Factors of 1624 are 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624. There are 16 integers that are factors of 1624. The greatest factor of 1624 is 1624.
4. How to Find the GCF of 1620 and 1624?
Answer:
Greatest Common Factor of 1620 and 1624 = 4
Step 1: Find the prime factorization of 1620
1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5
Step 2: Find the prime factorization of 1624
1624 = 2 x 2 x 2 x 7 x 29
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 1620 and 1624 is 4