What is the Greatest Common Factor of 57624 and 57633?

Greatest common factor (GCF) of 57624 and 57633 is 3.

GCF(57624,57633) = 3

We will now calculate the prime factors of 57624 and 57633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57624 and 57633.

How to find the GCF of 57624 and 57633?

We will first find the prime factorization of 57624 and 57633. After we will calculate the factors of 57624 and 57633 and find the biggest common factor number .

Step-1: Prime Factorization of 57624

Prime factors of 57624 are 2, 3, 7. Prime factorization of 57624 in exponential form is:

57624 = 2³ × 3¹ × 7⁴

Step-2: Prime Factorization of 57633

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

57633 = 3¹ × 19211¹

Step-3: Factors of 57624

List of positive integer factors of 57624 that divides 57624 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2401, 2744, 4116, 4802, 7203, 8232, 9604, 14406, 19208, 28812

Step-4: Factors of 57633

List of positive integer factors of 57633 that divides 57624 without a remainder.

1, 3, 19211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57624 and 57633. The biggest common factor number is the GCF number.
So the greatest common factor 57624 and 57633 is 3.

Also check out the Least Common Multiple of 57624 and 57633