Greatest Common Factor of 545 and 551

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 545, 551 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 545 and 551 is 1.

GCF(545,551) = 1

GCF of 545 and 551

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

GCF of:
and

Greatest Common Factor of 545 and 551

GCF of 545 and 551 is 1

Prime Factorization of 545


5 545
109 109
1

Prime factors of 545 are 5,109. Prime factorization of 545 in exponential form is:

545 = 51×1091

Prime Factorization of 551


19 551
29 29
1

Prime factors of 551 are 19,29. Prime factorization of 551 in exponential form is:

551 = 191×291

∴ So by taking common prime factors GCF of 545 and 551 is 1

Greatest Common Factor of 545 and 551 by matching factors method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors and prime factorization of 545 and 551. The biggest common factor number is the GCF number.
So the greatest common factor 545 and 551 is 1.

Also check out the Least Common Multiple of 545 and 551

Properties of GCF 545 and 551

(i) The GCF of 545 and 551 is associative

GCF of 545 and 551 = GCF of 551 and 545

Frequently Asked Questions on GCF of 545 and 551

1. What is the GCF of 545 and 551?

Answer: GCF of 545 and 551 is 1.

2. What are the Factors of 545?

Answer: Factors of 545 are 1, 5, 109, 545. There are 4 integers that are factors of 545. The greatest factor of 545 is 545.

3. What are the Factors of 551?

Answer: Factors of 551 are 1, 19, 29, 551. There are 4 integers that are factors of 551. The greatest factor of 551 is 551.

4. How to Find the GCF of 545 and 551?

Answer:

Greatest Common Factor of 545 and 551 = 1

Step 1: Find the prime factorization of 545

545 = 5 x 109

Step 2: Find the prime factorization of 551

551 = 19 x 29

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 545 and 551 is 1