What is the Greatest Common Factor of 62553 and 62559?

Greatest common factor (GCF) of 62553 and 62559 is 3.

GCF(62553,62559) = 3

We will now calculate the prime factors of 62553 and 62559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62553 and 62559.

How to find the GCF of 62553 and 62559?

We will first find the prime factorization of 62553 and 62559. After we will calculate the factors of 62553 and 62559 and find the biggest common factor number .

Step-1: Prime Factorization of 62553

Prime factors of 62553 are 3, 29, 719. Prime factorization of 62553 in exponential form is:

62553 = 3¹ × 29¹ × 719¹

Step-2: Prime Factorization of 62559

Prime factors of 62559 are 3, 7, 331. Prime factorization of 62559 in exponential form is:

62559 = 3³ × 7¹ × 331¹

Step-3: Factors of 62553

List of positive integer factors of 62553 that divides 62553 without a remainder.

1, 3, 29, 87, 719, 2157, 20851

Step-4: Factors of 62559

List of positive integer factors of 62559 that divides 62553 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 331, 993, 2317, 2979, 6951, 8937, 20853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62553 and 62559. The biggest common factor number is the GCF number.
So the greatest common factor 62553 and 62559 is 3.

Also check out the Least Common Multiple of 62553 and 62559