Greatest Common Factor of 1624 and 1627

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, 1627 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1624 and 1627 is 1.

GCF(1624,1627) = 1

GCF of 1624 and 1627

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

GCF of:
and

Greatest Common Factor of 1624 and 1627

GCF of 1624 and 1627 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 1627


1627 1627
1

Prime factors of 1627 are 1627. Prime factorization of 1627 in exponential form is:

1627 = 16271

∴ So by taking common prime factors GCF of 1624 and 1627 is 1

Greatest Common Factor of 1624 and 1627 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 1627

List of positive integer factors of 1627 that divides 1627 without a remainder.

1,1627

Greatest Common Factor

We found the factors and prime factorization of 1624 and 1627. The biggest common factor number is the GCF number.
So the greatest common factor 1624 and 1627 is 1.

Also check out the Least Common Multiple of 1624 and 1627

Properties of GCF 1624 and 1627

(i) The GCF of 1624 and 1627 is associative

GCF of 1624 and 1627 = GCF of 1627 and 1624

Related Greatest Common Factor of 1624

Related Greatest Common Factor of 1627

Frequently Asked Questions on GCF of 1624 and 1627

1. What is the GCF of 1624 and 1627?

Answer: GCF of 1624 and 1627 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 1627?

Answer: Factors of 1627 are 1, 1627. There are 2 integers that are factors of 1627. The greatest factor of 1627 is 1627.

4. How to Find the GCF of 1624 and 1627?

Answer:

Greatest Common Factor of 1624 and 1627 = 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 1627

1627 = 1627

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 1627 is 1