What is the Greatest Common Factor of 57633 and 57639?

Greatest common factor (GCF) of 57633 and 57639 is 3.

GCF(57633,57639) = 3

We will now calculate the prime factors of 57633 and 57639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57633 and 57639.

How to find the GCF of 57633 and 57639?

We will first find the prime factorization of 57633 and 57639. After we will calculate the factors of 57633 and 57639 and find the biggest common factor number .

Step-1: Prime Factorization of 57633

Prime factors of 57633 are 3, 19211. Prime factorization of 57633 in exponential form is:

57633 = 3¹ × 19211¹

Step-2: Prime Factorization of 57639

Prime factors of 57639 are 3, 19213. Prime factorization of 57639 in exponential form is:

57639 = 3¹ × 19213¹

Step-3: Factors of 57633

List of positive integer factors of 57633 that divides 57633 without a remainder.

1, 3, 19211

Step-4: Factors of 57639

List of positive integer factors of 57639 that divides 57633 without a remainder.

1, 3, 19213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57633 and 57639. The biggest common factor number is the GCF number.
So the greatest common factor 57633 and 57639 is 3.

Also check out the Least Common Multiple of 57633 and 57639