Greatest Common Factor of 1639 and 1644

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 1639, 1644 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1639 and 1644 is 1.

GCF(1639,1644) = 1

GCF of 1639 and 1644

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

GCF of:
and

Greatest Common Factor of 1639 and 1644

GCF of 1639 and 1644 is 1

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

Prime Factorization of 1644


2 1644
2 822
3 411
137 137
1

Prime factors of 1644 are 2,3,137. Prime factorization of 1644 in exponential form is:

1644 = 22×31×1371

∴ So by taking common prime factors GCF of 1639 and 1644 is 1

Greatest Common Factor of 1639 and 1644 by matching factors method

Factors of 1639

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

1,11,149,1639

Factors of 1644

List of positive integer factors of 1644 that divides 1644 without a remainder.

1,2,3,4,6,12,137,274,411,548,822,1644

Greatest Common Factor

We found the factors and prime factorization of 1639 and 1644. The biggest common factor number is the GCF number.
So the greatest common factor 1639 and 1644 is 1.

Also check out the Least Common Multiple of 1639 and 1644

Properties of GCF 1639 and 1644

(i) The GCF of 1639 and 1644 is associative

GCF of 1639 and 1644 = GCF of 1644 and 1639

Related Greatest Common Factor of 1639

Related Greatest Common Factor of 1644

Frequently Asked Questions on GCF of 1639 and 1644

1. What is the GCF of 1639 and 1644?

Answer: GCF of 1639 and 1644 is 1.

2. 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.

3. What are the Factors of 1644?

Answer: Factors of 1644 are 1, 2, 3, 4, 6, 12, 137, 274, 411, 548, 822, 1644. There are 12 integers that are factors of 1644. The greatest factor of 1644 is 1644.

4. How to Find the GCF of 1639 and 1644?

Answer:

Greatest Common Factor of 1639 and 1644 = 1

Step 1: Find the prime factorization of 1639

1639 = 11 x 149

Step 2: Find the prime factorization of 1644

1644 = 2 x 2 x 3 x 137

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 1639 and 1644 is 1