Greatest Common Factor of 1649 and 1657

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, 1657 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1649 and 1657 is 1.

GCF(1649,1657) = 1

GCF of 1649 and 1657

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

GCF of:
and

Greatest Common Factor of 1649 and 1657

GCF of 1649 and 1657 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 1657


1657 1657
1

Prime factors of 1657 are 1657. Prime factorization of 1657 in exponential form is:

1657 = 16571

∴ So by taking common prime factors GCF of 1649 and 1657 is 1

Greatest Common Factor of 1649 and 1657 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 1657

List of positive integer factors of 1657 that divides 1657 without a remainder.

1,1657

Greatest Common Factor

We found the factors and prime factorization of 1649 and 1657. The biggest common factor number is the GCF number.
So the greatest common factor 1649 and 1657 is 1.

Also check out the Least Common Multiple of 1649 and 1657

Properties of GCF 1649 and 1657

(i) The GCF of 1649 and 1657 is associative

GCF of 1649 and 1657 = GCF of 1657 and 1649

Related Greatest Common Factor of 1649

Related Greatest Common Factor of 1657

Frequently Asked Questions on GCF of 1649 and 1657

1. What is the GCF of 1649 and 1657?

Answer: GCF of 1649 and 1657 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 1657?

Answer: Factors of 1657 are 1, 1657. There are 2 integers that are factors of 1657. The greatest factor of 1657 is 1657.

4. How to Find the GCF of 1649 and 1657?

Answer:

Greatest Common Factor of 1649 and 1657 = 1

Step 1: Find the prime factorization of 1649

1649 = 17 x 97

Step 2: Find the prime factorization of 1657

1657 = 1657

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 1657 is 1