Greatest Common Factor of 1639 and 1645

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, 1645 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1639 and 1645 is 1.

GCF(1639,1645) = 1

GCF of 1639 and 1645

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

GCF of:
and

Greatest Common Factor of 1639 and 1645

GCF of 1639 and 1645 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 1645


5 1645
7 329
47 47
1

Prime factors of 1645 are 5,7,47. Prime factorization of 1645 in exponential form is:

1645 = 51×71×471

∴ So by taking common prime factors GCF of 1639 and 1645 is 1

Greatest Common Factor of 1639 and 1645 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 1645

List of positive integer factors of 1645 that divides 1645 without a remainder.

1,5,7,35,47,235,329,1645

Greatest Common Factor

We found the factors and prime factorization of 1639 and 1645. The biggest common factor number is the GCF number.
So the greatest common factor 1639 and 1645 is 1.

Also check out the Least Common Multiple of 1639 and 1645

Properties of GCF 1639 and 1645

(i) The GCF of 1639 and 1645 is associative

GCF of 1639 and 1645 = GCF of 1645 and 1639

Related Greatest Common Factor of 1639

Related Greatest Common Factor of 1645

Frequently Asked Questions on GCF of 1639 and 1645

1. What is the GCF of 1639 and 1645?

Answer: GCF of 1639 and 1645 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 1645?

Answer: Factors of 1645 are 1, 5, 7, 35, 47, 235, 329, 1645. There are 8 integers that are factors of 1645. The greatest factor of 1645 is 1645.

4. How to Find the GCF of 1639 and 1645?

Answer:

Greatest Common Factor of 1639 and 1645 = 1

Step 1: Find the prime factorization of 1639

1639 = 11 x 149

Step 2: Find the prime factorization of 1645

1645 = 5 x 7 x 47

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 1645 is 1