What is the Greatest Common Factor of 62553 and 62571?

Greatest common factor (GCF) of 62553 and 62571 is 3.

GCF(62553,62571) = 3

We will now calculate the prime factors of 62553 and 62571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62553 and 62571.

How to find the GCF of 62553 and 62571?

We will first find the prime factorization of 62553 and 62571. After we will calculate the factors of 62553 and 62571 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 62571

Prime factors of 62571 are 3, 20857. Prime factorization of 62571 in exponential form is:

62571 = 3¹ × 20857¹

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 62571

List of positive integer factors of 62571 that divides 62553 without a remainder.

1, 3, 20857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62553 and 62571. The biggest common factor number is the GCF number.
So the greatest common factor 62553 and 62571 is 3.

Also check out the Least Common Multiple of 62553 and 62571