Greatest Common Factor of 1649 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 1649, 1652 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1649 and 1652 is 1.

GCF(1649,1652) = 1

GCF of 1649 and 1652

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

GCF of:
and

Greatest Common Factor of 1649 and 1652

GCF of 1649 and 1652 is 1

Prime Factorization of 1649


17 1649
97 97
1

Prime factors of 1649 are 17,97. Prime factorization of 1649 in exponential form is:

1649 = 171×971

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 1649 and 1652 is 1

Greatest Common Factor of 1649 and 1652 by matching factors method

Factors of 1649

List of positive integer factors of 1649 that divides 1649 without a remainder.

1,17,97,1649

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 1649 and 1652. The biggest common factor number is the GCF number.
So the greatest common factor 1649 and 1652 is 1.

Also check out the Least Common Multiple of 1649 and 1652

Properties of GCF 1649 and 1652

(i) The GCF of 1649 and 1652 is associative

GCF of 1649 and 1652 = GCF of 1652 and 1649

Related Greatest Common Factor of 1649

Related Greatest Common Factor of 1652

Frequently Asked Questions on GCF of 1649 and 1652

1. What is the GCF of 1649 and 1652?

Answer: GCF of 1649 and 1652 is 1.

2. What are the Factors of 1649?

Answer: Factors of 1649 are 1, 17, 97, 1649. There are 4 integers that are factors of 1649. The greatest factor of 1649 is 1649.

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 1649 and 1652?

Answer:

Greatest Common Factor of 1649 and 1652 = 1

Step 1: Find the prime factorization of 1649

1649 = 17 x 97

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 = = 1

Step 4: Therefore, the greatest common factor of 1649 and 1652 is 1