What is the Greatest Common Factor of 45633 and 45642?

Greatest common factor (GCF) of 45633 and 45642 is 3.

GCF(45633,45642) = 3

We will now calculate the prime factors of 45633 and 45642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45633 and 45642.

How to find the GCF of 45633 and 45642?

We will first find the prime factorization of 45633 and 45642. After we will calculate the factors of 45633 and 45642 and find the biggest common factor number .

Step-1: Prime Factorization of 45633

Prime factors of 45633 are 3, 7, 41, 53. Prime factorization of 45633 in exponential form is:

45633 = 3¹ × 7¹ × 41¹ × 53¹

Step-2: Prime Factorization of 45642

Prime factors of 45642 are 2, 3, 7607. Prime factorization of 45642 in exponential form is:

45642 = 2¹ × 3¹ × 7607¹

Step-3: Factors of 45633

List of positive integer factors of 45633 that divides 45633 without a remainder.

1, 3, 7, 21, 41, 53, 123, 159, 287, 371, 861, 1113, 2173, 6519, 15211

Step-4: Factors of 45642

List of positive integer factors of 45642 that divides 45633 without a remainder.

1, 2, 3, 6, 7607, 15214, 22821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45633 and 45642. The biggest common factor number is the GCF number.
So the greatest common factor 45633 and 45642 is 3.

Also check out the Least Common Multiple of 45633 and 45642