Greatest Common Factor of 1617 and 1624

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 1617, 1624 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1617 and 1624 is 7.

GCF(1617,1624) = 7

GCF of 1617 and 1624

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

GCF of:
and

Greatest Common Factor of 1617 and 1624

GCF of 1617 and 1624 is 7

Prime Factorization of 1617


3 1617
7 539
7 77
11 11
1

Prime factors of 1617 are 3,7,11. Prime factorization of 1617 in exponential form is:

1617 = 31×72×111

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 1617 and 1624 is 7

Greatest Common Factor of 1617 and 1624 by matching factors method

Factors of 1617

List of positive integer factors of 1617 that divides 1617 without a remainder.

1,3,7,11,21,33,49,77,147,231,539,1617

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 1617 and 1624. The biggest common factor number is the GCF number.
So the greatest common factor 1617 and 1624 is 7.

Also check out the Least Common Multiple of 1617 and 1624

Properties of GCF 1617 and 1624

(i) The GCF of 1617 and 1624 is associative

GCF of 1617 and 1624 = GCF of 1624 and 1617

Related Greatest Common Factor of 1617

Related Greatest Common Factor of 1624

Frequently Asked Questions on GCF of 1617 and 1624

1. What is the GCF of 1617 and 1624?

Answer: GCF of 1617 and 1624 is 7.

2. What are the Factors of 1617?

Answer: Factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617. There are 12 integers that are factors of 1617. The greatest factor of 1617 is 1617.

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 1617 and 1624?

Answer:

Greatest Common Factor of 1617 and 1624 = 7

Step 1: Find the prime factorization of 1617

1617 = 3 x 7 x 7 x 11

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 = 7

Step 4: Therefore, the greatest common factor of 1617 and 1624 is 7