Greatest Common Factor of 1624 and 1630

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, 1630 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1624 and 1630 is 2.

GCF(1624,1630) = 2

GCF of 1624 and 1630

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

GCF of:
and

Greatest Common Factor of 1624 and 1630

GCF of 1624 and 1630 is 2

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 1630


2 1630
5 815
163 163
1

Prime factors of 1630 are 2,5,163. Prime factorization of 1630 in exponential form is:

1630 = 21×51×1631

∴ So by taking common prime factors GCF of 1624 and 1630 is 2

Greatest Common Factor of 1624 and 1630 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 1630

List of positive integer factors of 1630 that divides 1630 without a remainder.

1,2,5,10,163,326,815,1630

Greatest Common Factor

We found the factors and prime factorization of 1624 and 1630. The biggest common factor number is the GCF number.
So the greatest common factor 1624 and 1630 is 2.

Also check out the Least Common Multiple of 1624 and 1630

Properties of GCF 1624 and 1630

(i) The GCF of 1624 and 1630 is associative

GCF of 1624 and 1630 = GCF of 1630 and 1624

Related Greatest Common Factor of 1624

Related Greatest Common Factor of 1630

Frequently Asked Questions on GCF of 1624 and 1630

1. What is the GCF of 1624 and 1630?

Answer: GCF of 1624 and 1630 is 2.

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 1630?

Answer: Factors of 1630 are 1, 2, 5, 10, 163, 326, 815, 1630. There are 8 integers that are factors of 1630. The greatest factor of 1630 is 1630.

4. How to Find the GCF of 1624 and 1630?

Answer:

Greatest Common Factor of 1624 and 1630 = 2

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 1630

1630 = 2 x 5 x 163

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 1624 and 1630 is 2