Greatest Common Factor of 1645 and 1652

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, 1652 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1645 and 1652 is 7.

GCF(1645,1652) = 7

GCF of 1645 and 1652

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

GCF of:
and

Greatest Common Factor of 1645 and 1652

GCF of 1645 and 1652 is 7

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 1652


2 1652
2 826
7 413
59 59
1

Prime factors of 1652 are 2,7,59. Prime factorization of 1652 in exponential form is:

1652 = 22×71×591

∴ So by taking common prime factors GCF of 1645 and 1652 is 7

Greatest Common Factor of 1645 and 1652 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 1652

List of positive integer factors of 1652 that divides 1652 without a remainder.

1,2,4,7,14,28,59,118,236,413,826,1652

Greatest Common Factor

We found the factors and prime factorization of 1645 and 1652. The biggest common factor number is the GCF number.
So the greatest common factor 1645 and 1652 is 7.

Also check out the Least Common Multiple of 1645 and 1652

Properties of GCF 1645 and 1652

(i) The GCF of 1645 and 1652 is associative

GCF of 1645 and 1652 = GCF of 1652 and 1645

Related Greatest Common Factor of 1645

Related Greatest Common Factor of 1652

Frequently Asked Questions on GCF of 1645 and 1652

1. What is the GCF of 1645 and 1652?

Answer: GCF of 1645 and 1652 is 7.

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 1652?

Answer: Factors of 1652 are 1, 2, 4, 7, 14, 28, 59, 118, 236, 413, 826, 1652. There are 12 integers that are factors of 1652. The greatest factor of 1652 is 1652.

4. How to Find the GCF of 1645 and 1652?

Answer:

Greatest Common Factor of 1645 and 1652 = 7

Step 1: Find the prime factorization of 1645

1645 = 5 x 7 x 47

Step 2: Find the prime factorization of 1652

1652 = 2 x 2 x 7 x 59

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 1645 and 1652 is 7