What is the Greatest Common Factor of 1543 and 1547?

Greatest common factor (GCF) of 1543 and 1547 is 1.

GCF(1543,1547) = 1

We will now calculate the prime factors of 1543 and 1547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1543 and 1547.

How to find the GCF of 1543 and 1547?

We will first find the prime factorization of 1543 and 1547. After we will calculate the factors of 1543 and 1547 and find the biggest common factor number .

Step-1: Prime Factorization of 1543

Prime factors of 1543 are 1543. Prime factorization of 1543 in exponential form is:

1543 = 1543¹

Step-2: Prime Factorization of 1547

Prime factors of 1547 are 7, 13, 17. Prime factorization of 1547 in exponential form is:

1547 = 7¹ × 13¹ × 17¹

Step-3: Factors of 1543

List of positive integer factors of 1543 that divides 1543 without a remainder.

Step-4: Factors of 1547

List of positive integer factors of 1547 that divides 1543 without a remainder.

1, 7, 13, 17, 91, 119, 221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1543 and 1547. The biggest common factor number is the GCF number.
So the greatest common factor 1543 and 1547 is 1.

Also check out the Least Common Multiple of 1543 and 1547