Greatest Common Factor of 1634 and 1639

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, 1639 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1634 and 1639 is 1.

GCF(1634,1639) = 1

GCF of 1634 and 1639

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

GCF of:
and

Greatest Common Factor of 1634 and 1639

GCF of 1634 and 1639 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 1639


11 1639
149 149
1

Prime factors of 1639 are 11,149. Prime factorization of 1639 in exponential form is:

1639 = 111×1491

∴ So by taking common prime factors GCF of 1634 and 1639 is 1

Greatest Common Factor of 1634 and 1639 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 1639

List of positive integer factors of 1639 that divides 1639 without a remainder.

1,11,149,1639

Greatest Common Factor

We found the factors and prime factorization of 1634 and 1639. The biggest common factor number is the GCF number.
So the greatest common factor 1634 and 1639 is 1.

Also check out the Least Common Multiple of 1634 and 1639

Properties of GCF 1634 and 1639

(i) The GCF of 1634 and 1639 is associative

GCF of 1634 and 1639 = GCF of 1639 and 1634

Related Greatest Common Factor of 1634

Related Greatest Common Factor of 1639

Frequently Asked Questions on GCF of 1634 and 1639

1. What is the GCF of 1634 and 1639?

Answer: GCF of 1634 and 1639 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 1639?

Answer: Factors of 1639 are 1, 11, 149, 1639. There are 4 integers that are factors of 1639. The greatest factor of 1639 is 1639.

4. How to Find the GCF of 1634 and 1639?

Answer:

Greatest Common Factor of 1634 and 1639 = 1

Step 1: Find the prime factorization of 1634

1634 = 2 x 19 x 43

Step 2: Find the prime factorization of 1639

1639 = 11 x 149

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 1639 is 1