Greatest Common Factor of 1624 and 1629

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, 1629 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1624 and 1629 is 1.

GCF(1624,1629) = 1

GCF of 1624 and 1629

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1624 and 1629

GCF of 1624 and 1629 is 1

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 1629


3 1629
3 543
181 181
1

Prime factors of 1629 are 3,181. Prime factorization of 1629 in exponential form is:

1629 = 32×1811

∴ So by taking common prime factors GCF of 1624 and 1629 is 1

Greatest Common Factor of 1624 and 1629 by matching factors method

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 1629

List of positive integer factors of 1629 that divides 1629 without a remainder.

1,3,9,181,543,1629

Greatest Common Factor

We found the factors and prime factorization of 1624 and 1629. The biggest common factor number is the GCF number.
So the greatest common factor 1624 and 1629 is 1.

Also check out the Least Common Multiple of 1624 and 1629

Properties of GCF 1624 and 1629

(i) The GCF of 1624 and 1629 is associative

GCF of 1624 and 1629 = GCF of 1629 and 1624

Related Greatest Common Factor of 1624

Related Greatest Common Factor of 1629

Frequently Asked Questions on GCF of 1624 and 1629

1. What is the GCF of 1624 and 1629?

Answer: GCF of 1624 and 1629 is 1.

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 1629?

Answer: Factors of 1629 are 1, 3, 9, 181, 543, 1629. There are 6 integers that are factors of 1629. The greatest factor of 1629 is 1629.

4. How to Find the GCF of 1624 and 1629?

Answer:

Greatest Common Factor of 1624 and 1629 = 1

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 1629

1629 = 3 x 3 x 181

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 1624 and 1629 is 1