Greatest Common Factor of 1549 and 1555

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

• Greatest Common Factor of 1549 and 1555 by prime factorization method
• Greatest Common Factor of 1549 and 1555 by matching factors method

Prime Factorization of 1549

Prime factors of 1549 are 1549. Prime factorization of 1549 in exponential form is:

1549 = 1549¹

Prime Factorization of 1555

Prime factors of 1555 are 5.Prime factorization of 1555 in exponential form is:

1555 = 5¹×311¹

∴ So by taking common prime factors GCF of 1549 and 1555 is 1

Factors of 1549

List of positive integer factors of 1549 that divides 1549 without a remainder.

1,1549

Factors of 1555

List of positive integer factors of 1555 that divides 1555 without a remainder.

1,5,311,1555

Greatest Common Factor

We found the factors and prime factorization of 1549 and 1555. The biggest common factor number is the GCF number.
So the greatest common factor 1549 and 1555 is 1.

Also check out the Least Common Multiple of 1549 and 1555

(i) The GCF of 1549 and 1555 is associative

GCF of 1549 and 1555 = GCF of 1555 and 1549

1. What is the GCF of 1549 and 1555?

Answer: GCF of 1549 and 1555 is 1.

2. What are the Factors of 1549?

Answer: Factors of 1549 are 1, 1549. There are 2 integers that are factors of 1549. The greatest factor of 1549 is 1549.

3. What are the Factors of 1555?

Answer: Factors of 1555 are 1, 5, 311, 1555. There are 4 integers that are factors of 1555. The greatest factor of 1555 is 1555.

4. How to Find the GCF of 1549 and 1555?

Answer:

Greatest Common Factor of 1549 and 1555 = 1

Step 1: Find the prime factorization of 1549

1549 = 1549

Step 2: Find the prime factorization of 1555

1555 = 5 x 311

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 1549 and 1555 is 1