What is the Greatest Common Factor of 62577 and 62583?

Greatest common factor (GCF) of 62577 and 62583 is 3.

GCF(62577,62583) = 3

We will now calculate the prime factors of 62577 and 62583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62577 and 62583.

How to find the GCF of 62577 and 62583?

We will first find the prime factorization of 62577 and 62583. After we will calculate the factors of 62577 and 62583 and find the biggest common factor number .

Step-1: Prime Factorization of 62577

Prime factors of 62577 are 3, 17, 409. Prime factorization of 62577 in exponential form is:

62577 = 3² × 17¹ × 409¹

Step-2: Prime Factorization of 62583

Prime factors of 62583 are 3, 23, 907. Prime factorization of 62583 in exponential form is:

62583 = 3¹ × 23¹ × 907¹

Step-3: Factors of 62577

List of positive integer factors of 62577 that divides 62577 without a remainder.

1, 3, 9, 17, 51, 153, 409, 1227, 3681, 6953, 20859

Step-4: Factors of 62583

List of positive integer factors of 62583 that divides 62577 without a remainder.

1, 3, 23, 69, 907, 2721, 20861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62577 and 62583. The biggest common factor number is the GCF number.
So the greatest common factor 62577 and 62583 is 3.

Also check out the Least Common Multiple of 62577 and 62583