What is the Greatest Common Factor of 62547 and 62564?

Greatest common factor (GCF) of 62547 and 62564 is 1.

GCF(62547,62564) = 1

We will now calculate the prime factors of 62547 and 62564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62547 and 62564.

How to find the GCF of 62547 and 62564?

We will first find the prime factorization of 62547 and 62564. After we will calculate the factors of 62547 and 62564 and find the biggest common factor number .

Step-1: Prime Factorization of 62547

Prime factors of 62547 are 3, 20849. Prime factorization of 62547 in exponential form is:

62547 = 3¹ × 20849¹

Step-2: Prime Factorization of 62564

Prime factors of 62564 are 2, 15641. Prime factorization of 62564 in exponential form is:

62564 = 2² × 15641¹

Step-3: Factors of 62547

List of positive integer factors of 62547 that divides 62547 without a remainder.

1, 3, 20849

Step-4: Factors of 62564

List of positive integer factors of 62564 that divides 62547 without a remainder.

1, 2, 4, 15641, 31282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62547 and 62564. The biggest common factor number is the GCF number.
So the greatest common factor 62547 and 62564 is 1.

Also check out the Least Common Multiple of 62547 and 62564