What is the Greatest Common Factor of 62547 and 62565?

Greatest common factor (GCF) of 62547 and 62565 is 3.

GCF(62547,62565) = 3

We will now calculate the prime factors of 62547 and 62565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62547 and 62565.

How to find the GCF of 62547 and 62565?

We will first find the prime factorization of 62547 and 62565. After we will calculate the factors of 62547 and 62565 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 62565

Prime factors of 62565 are 3, 5, 43, 97. Prime factorization of 62565 in exponential form is:

62565 = 3¹ × 5¹ × 43¹ × 97¹

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 62565

List of positive integer factors of 62565 that divides 62547 without a remainder.

1, 3, 5, 15, 43, 97, 129, 215, 291, 485, 645, 1455, 4171, 12513, 20855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62547 and 62565. The biggest common factor number is the GCF number.
So the greatest common factor 62547 and 62565 is 3.

Also check out the Least Common Multiple of 62547 and 62565