Greatest Common Factor of 1624 and 1631

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, 1631 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1624 and 1631 is 7.

GCF(1624,1631) = 7

GCF of 1624 and 1631

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

GCF of:
and

Greatest Common Factor of 1624 and 1631

GCF of 1624 and 1631 is 7

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 1631


7 1631
233 233
1

Prime factors of 1631 are 7,233. Prime factorization of 1631 in exponential form is:

1631 = 71×2331

∴ So by taking common prime factors GCF of 1624 and 1631 is 7

Greatest Common Factor of 1624 and 1631 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 1631

List of positive integer factors of 1631 that divides 1631 without a remainder.

1,7,233,1631

Greatest Common Factor

We found the factors and prime factorization of 1624 and 1631. The biggest common factor number is the GCF number.
So the greatest common factor 1624 and 1631 is 7.

Also check out the Least Common Multiple of 1624 and 1631

Properties of GCF 1624 and 1631

(i) The GCF of 1624 and 1631 is associative

GCF of 1624 and 1631 = GCF of 1631 and 1624

Related Greatest Common Factor of 1624

Related Greatest Common Factor of 1631

Frequently Asked Questions on GCF of 1624 and 1631

1. What is the GCF of 1624 and 1631?

Answer: GCF of 1624 and 1631 is 7.

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 1631?

Answer: Factors of 1631 are 1, 7, 233, 1631. There are 4 integers that are factors of 1631. The greatest factor of 1631 is 1631.

4. How to Find the GCF of 1624 and 1631?

Answer:

Greatest Common Factor of 1624 and 1631 = 7

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 1631

1631 = 7 x 233

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1624 and 1631 is 7