Greatest Common Factor of 1637 and 1642

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 1637, 1642 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1637 and 1642 is 1.

GCF(1637,1642) = 1

GCF of 1637 and 1642

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

GCF of:
and

Greatest Common Factor of 1637 and 1642

GCF of 1637 and 1642 is 1

Prime Factorization of 1637


1637 1637
1

Prime factors of 1637 are 1637. Prime factorization of 1637 in exponential form is:

1637 = 16371

Prime Factorization of 1642


2 1642
821 821
1

Prime factors of 1642 are 2.Prime factorization of 1642 in exponential form is:

1642 = 21×8211

∴ So by taking common prime factors GCF of 1637 and 1642 is 1

Greatest Common Factor of 1637 and 1642 by matching factors method

Factors of 1637

List of positive integer factors of 1637 that divides 1637 without a remainder.

1,1637

Factors of 1642

List of positive integer factors of 1642 that divides 1642 without a remainder.

1,2,821,1642

Greatest Common Factor

We found the factors and prime factorization of 1637 and 1642. The biggest common factor number is the GCF number.
So the greatest common factor 1637 and 1642 is 1.

Also check out the Least Common Multiple of 1637 and 1642

Properties of GCF 1637 and 1642

(i) The GCF of 1637 and 1642 is associative

GCF of 1637 and 1642 = GCF of 1642 and 1637

Related Greatest Common Factor of 1637

Related Greatest Common Factor of 1642

Frequently Asked Questions on GCF of 1637 and 1642

1. What is the GCF of 1637 and 1642?

Answer: GCF of 1637 and 1642 is 1.

2. What are the Factors of 1637?

Answer: Factors of 1637 are 1, 1637. There are 2 integers that are factors of 1637. The greatest factor of 1637 is 1637.

3. What are the Factors of 1642?

Answer: Factors of 1642 are 1, 2, 821, 1642. There are 4 integers that are factors of 1642. The greatest factor of 1642 is 1642.

4. How to Find the GCF of 1637 and 1642?

Answer:

Greatest Common Factor of 1637 and 1642 = 1

Step 1: Find the prime factorization of 1637

1637 = 1637

Step 2: Find the prime factorization of 1642

1642 = 2 x 821

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 1637 and 1642 is 1