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 1624, 1628 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1624 and 1628 is 4.
GCF(1624,1628) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1628
2 | 1628 |
2 | 814 |
11 | 407 |
37 | 37 |
1 |
Prime factors of 1628 are 2,11,37. Prime factorization of 1628 in exponential form is:
1628 = 22×111×371
∴ So by taking common prime factors GCF of 1624 and 1628 is 4
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
Factors of 1628
List of positive integer factors of 1628 that divides 1628 without a remainder.
1,2,4,11,22,37,44,74,148,407,814,1628
Greatest Common Factor
We found the factors and prime factorization of 1624 and 1628. The biggest common factor number is the GCF number.
So the greatest common factor 1624 and 1628 is 4.
Also check out the Least Common Multiple of 1624 and 1628
(i) The GCF of 1624 and 1628 is associative
GCF of 1624 and 1628 = GCF of 1628 and 1624
1. What is the GCF of 1624 and 1628?
Answer: GCF of 1624 and 1628 is 4.
2. 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.
3. What are the Factors of 1628?
Answer: Factors of 1628 are 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628. There are 12 integers that are factors of 1628. The greatest factor of 1628 is 1628.
4. How to Find the GCF of 1624 and 1628?
Answer:
Greatest Common Factor of 1624 and 1628 = 4
Step 1: Find the prime factorization of 1624
1624 = 2 x 2 x 2 x 7 x 29
Step 2: Find the prime factorization of 1628
1628 = 2 x 2 x 11 x 37
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 1624 and 1628 is 4