Greatest Common Factor of 1787 and 1795

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

• Greatest Common Factor of 1787 and 1795 by prime factorization method
• Greatest Common Factor of 1787 and 1795 by matching factors method

Prime Factorization of 1787

Prime factors of 1787 are 1787. Prime factorization of 1787 in exponential form is:

1787 = 1787¹

Prime Factorization of 1795

Prime factors of 1795 are 5.Prime factorization of 1795 in exponential form is:

1795 = 5¹×359¹

∴ So by taking common prime factors GCF of 1787 and 1795 is 1

Factors of 1787

List of positive integer factors of 1787 that divides 1787 without a remainder.

1,1787

Factors of 1795

List of positive integer factors of 1795 that divides 1795 without a remainder.

1,5,359,1795

Greatest Common Factor

We found the factors and prime factorization of 1787 and 1795. The biggest common factor number is the GCF number.
So the greatest common factor 1787 and 1795 is 1.

Also check out the Least Common Multiple of 1787 and 1795

(i) The GCF of 1787 and 1795 is associative

GCF of 1787 and 1795 = GCF of 1795 and 1787

1. What is the GCF of 1787 and 1795?

Answer: GCF of 1787 and 1795 is 1.

2. What are the Factors of 1787?

Answer: Factors of 1787 are 1, 1787. There are 2 integers that are factors of 1787. The greatest factor of 1787 is 1787.

3. What are the Factors of 1795?

Answer: Factors of 1795 are 1, 5, 359, 1795. There are 4 integers that are factors of 1795. The greatest factor of 1795 is 1795.

4. How to Find the GCF of 1787 and 1795?

Answer:

Greatest Common Factor of 1787 and 1795 = 1

Step 1: Find the prime factorization of 1787

1787 = 1787

Step 2: Find the prime factorization of 1795

1795 = 5 x 359

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 1787 and 1795 is 1