Greatest Common Factor of 1634 and 1637

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 1634, 1637 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1634 and 1637 is 1.

GCF(1634,1637) = 1

GCF of 1634 and 1637

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

GCF of:
and

Greatest Common Factor of 1634 and 1637

GCF of 1634 and 1637 is 1

Prime Factorization of 1634


2 1634
19 817
43 43
1

Prime factors of 1634 are 2,19,43. Prime factorization of 1634 in exponential form is:

1634 = 21×191×431

Prime Factorization of 1637


1637 1637
1

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

1637 = 16371

∴ So by taking common prime factors GCF of 1634 and 1637 is 1

Greatest Common Factor of 1634 and 1637 by matching factors method

Factors of 1634

List of positive integer factors of 1634 that divides 1634 without a remainder.

1,2,19,38,43,86,817,1634

Factors of 1637

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

1,1637

Greatest Common Factor

We found the factors and prime factorization of 1634 and 1637. The biggest common factor number is the GCF number.
So the greatest common factor 1634 and 1637 is 1.

Also check out the Least Common Multiple of 1634 and 1637

Properties of GCF 1634 and 1637

(i) The GCF of 1634 and 1637 is associative

GCF of 1634 and 1637 = GCF of 1637 and 1634

Related Greatest Common Factor of 1634

Related Greatest Common Factor of 1637

Frequently Asked Questions on GCF of 1634 and 1637

1. What is the GCF of 1634 and 1637?

Answer: GCF of 1634 and 1637 is 1.

2. What are the Factors of 1634?

Answer: Factors of 1634 are 1, 2, 19, 38, 43, 86, 817, 1634. There are 8 integers that are factors of 1634. The greatest factor of 1634 is 1634.

3. 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.

4. How to Find the GCF of 1634 and 1637?

Answer:

Greatest Common Factor of 1634 and 1637 = 1

Step 1: Find the prime factorization of 1634

1634 = 2 x 19 x 43

Step 2: Find the prime factorization of 1637

1637 = 1637

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 1634 and 1637 is 1