What is the Greatest Common Factor of 93633 and 93642?

Greatest common factor (GCF) of 93633 and 93642 is 3.

GCF(93633,93642) = 3

We will now calculate the prime factors of 93633 and 93642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93633 and 93642.

How to find the GCF of 93633 and 93642?

We will first find the prime factorization of 93633 and 93642. After we will calculate the factors of 93633 and 93642 and find the biggest common factor number .

Step-1: Prime Factorization of 93633

Prime factors of 93633 are 3, 23, 59. Prime factorization of 93633 in exponential form is:

93633 = 3¹ × 23² × 59¹

Step-2: Prime Factorization of 93642

Prime factors of 93642 are 2, 3, 15607. Prime factorization of 93642 in exponential form is:

93642 = 2¹ × 3¹ × 15607¹

Step-3: Factors of 93633

List of positive integer factors of 93633 that divides 93633 without a remainder.

1, 3, 23, 59, 69, 177, 529, 1357, 1587, 4071, 31211

Step-4: Factors of 93642

List of positive integer factors of 93642 that divides 93633 without a remainder.

1, 2, 3, 6, 15607, 31214, 46821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93633 and 93642. The biggest common factor number is the GCF number.
So the greatest common factor 93633 and 93642 is 3.

Also check out the Least Common Multiple of 93633 and 93642