What is the Greatest Common Factor of 45642 and 45648?

Greatest common factor (GCF) of 45642 and 45648 is 6.

GCF(45642,45648) = 6

We will now calculate the prime factors of 45642 and 45648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45642 and 45648.

How to find the GCF of 45642 and 45648?

We will first find the prime factorization of 45642 and 45648. After we will calculate the factors of 45642 and 45648 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45648

Prime factors of 45648 are 2, 3, 317. Prime factorization of 45648 in exponential form is:

45648 = 2⁴ × 3² × 317¹

Step-3: Factors of 45642

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

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

Step-4: Factors of 45648

List of positive integer factors of 45648 that divides 45642 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 317, 634, 951, 1268, 1902, 2536, 2853, 3804, 5072, 5706, 7608, 11412, 15216, 22824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45642 and 45648. The biggest common factor number is the GCF number.
So the greatest common factor 45642 and 45648 is 6.

Also check out the Least Common Multiple of 45642 and 45648