Greatest Common Factor of 1637 and 1641

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

• Greatest Common Factor of 1637 and 1641 by prime factorization method
• Greatest Common Factor of 1637 and 1641 by matching factors method

Prime Factorization of 1637

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

1637 = 1637¹

Prime Factorization of 1641

Prime factors of 1641 are 3.Prime factorization of 1641 in exponential form is:

1641 = 3¹×547¹

∴ So by taking common prime factors GCF of 1637 and 1641 is 1

Factors of 1637

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

1,1637

Factors of 1641

List of positive integer factors of 1641 that divides 1641 without a remainder.

1,3,547,1641

Greatest Common Factor

We found the factors and prime factorization of 1637 and 1641. The biggest common factor number is the GCF number.
So the greatest common factor 1637 and 1641 is 1.

Also check out the Least Common Multiple of 1637 and 1641

(i) The GCF of 1637 and 1641 is associative

GCF of 1637 and 1641 = GCF of 1641 and 1637

1. What is the GCF of 1637 and 1641?

Answer: GCF of 1637 and 1641 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 1641?

Answer: Factors of 1641 are 1, 3, 547, 1641. There are 4 integers that are factors of 1641. The greatest factor of 1641 is 1641.

4. How to Find the GCF of 1637 and 1641?

Answer:

Greatest Common Factor of 1637 and 1641 = 1

Step 1: Find the prime factorization of 1637

1637 = 1637

Step 2: Find the prime factorization of 1641

1641 = 3 x 547

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 1641 is 1