Greatest Common Factor of 1546 and 1553

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 1546, 1553 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1546 and 1553 is 1.

GCF(1546,1553) = 1

GCF of 1546 and 1553

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

GCF of:
and

Greatest Common Factor of 1546 and 1553

GCF of 1546 and 1553 is 1

Prime Factorization of 1546


2 1546
773 773
1

Prime factors of 1546 are 2,773. Prime factorization of 1546 in exponential form is:

1546 = 21×7731

Prime Factorization of 1553


1553 1553
1

Prime factors of 1553 are 1553. Prime factorization of 1553 in exponential form is:

1553 = 15531

∴ So by taking common prime factors GCF of 1546 and 1553 is 1

Greatest Common Factor of 1546 and 1553 by matching factors method

Factors of 1546

List of positive integer factors of 1546 that divides 1546 without a remainder.

1,2,773,1546

Factors of 1553

List of positive integer factors of 1553 that divides 1553 without a remainder.

1,1553

Greatest Common Factor

We found the factors and prime factorization of 1546 and 1553. The biggest common factor number is the GCF number.
So the greatest common factor 1546 and 1553 is 1.

Also check out the Least Common Multiple of 1546 and 1553

Properties of GCF 1546 and 1553

(i) The GCF of 1546 and 1553 is associative

GCF of 1546 and 1553 = GCF of 1553 and 1546

Related Greatest Common Factor of 1546

Related Greatest Common Factor of 1553

Frequently Asked Questions on GCF of 1546 and 1553

1. What is the GCF of 1546 and 1553?

Answer: GCF of 1546 and 1553 is 1.

2. What are the Factors of 1546?

Answer: Factors of 1546 are 1, 2, 773, 1546. There are 4 integers that are factors of 1546. The greatest factor of 1546 is 1546.

3. What are the Factors of 1553?

Answer: Factors of 1553 are 1, 1553. There are 2 integers that are factors of 1553. The greatest factor of 1553 is 1553.

4. How to Find the GCF of 1546 and 1553?

Answer:

Greatest Common Factor of 1546 and 1553 = 1

Step 1: Find the prime factorization of 1546

1546 = 2 x 773

Step 2: Find the prime factorization of 1553

1553 = 1553

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 1546 and 1553 is 1