Greatest Common Factor of 1645 and 1648

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 1645, 1648 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1645 and 1648 is 1.

GCF(1645,1648) = 1

GCF of 1645 and 1648

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

GCF of:
and

Greatest Common Factor of 1645 and 1648

GCF of 1645 and 1648 is 1

Prime Factorization of 1645


5 1645
7 329
47 47
1

Prime factors of 1645 are 5,7,47. Prime factorization of 1645 in exponential form is:

1645 = 51×71×471

Prime Factorization of 1648


2 1648
2 824
2 412
2 206
103 103
1

Prime factors of 1648 are 2,103. Prime factorization of 1648 in exponential form is:

1648 = 24×1031

∴ So by taking common prime factors GCF of 1645 and 1648 is 1

Greatest Common Factor of 1645 and 1648 by matching factors method

Factors of 1645

List of positive integer factors of 1645 that divides 1645 without a remainder.

1,5,7,35,47,235,329,1645

Factors of 1648

List of positive integer factors of 1648 that divides 1648 without a remainder.

1,2,4,8,16,103,206,412,824,1648

Greatest Common Factor

We found the factors and prime factorization of 1645 and 1648. The biggest common factor number is the GCF number.
So the greatest common factor 1645 and 1648 is 1.

Also check out the Least Common Multiple of 1645 and 1648

Properties of GCF 1645 and 1648

(i) The GCF of 1645 and 1648 is associative

GCF of 1645 and 1648 = GCF of 1648 and 1645

Related Greatest Common Factor of 1645

Related Greatest Common Factor of 1648

Frequently Asked Questions on GCF of 1645 and 1648

1. What is the GCF of 1645 and 1648?

Answer: GCF of 1645 and 1648 is 1.

2. What are the Factors of 1645?

Answer: Factors of 1645 are 1, 5, 7, 35, 47, 235, 329, 1645. There are 8 integers that are factors of 1645. The greatest factor of 1645 is 1645.

3. What are the Factors of 1648?

Answer: Factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648. There are 10 integers that are factors of 1648. The greatest factor of 1648 is 1648.

4. How to Find the GCF of 1645 and 1648?

Answer:

Greatest Common Factor of 1645 and 1648 = 1

Step 1: Find the prime factorization of 1645

1645 = 5 x 7 x 47

Step 2: Find the prime factorization of 1648

1648 = 2 x 2 x 2 x 2 x 103

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 1645 and 1648 is 1