What is the Greatest Common Factor of 45666 and 45672?

Greatest common factor (GCF) of 45666 and 45672 is 6.

GCF(45666,45672) = 6

We will now calculate the prime factors of 45666 and 45672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45666 and 45672.

How to find the GCF of 45666 and 45672?

We will first find the prime factorization of 45666 and 45672. After we will calculate the factors of 45666 and 45672 and find the biggest common factor number .

Step-1: Prime Factorization of 45666

Prime factors of 45666 are 2, 3, 43, 59. Prime factorization of 45666 in exponential form is:

45666 = 2¹ × 3² × 43¹ × 59¹

Step-2: Prime Factorization of 45672

Prime factors of 45672 are 2, 3, 11, 173. Prime factorization of 45672 in exponential form is:

45672 = 2³ × 3¹ × 11¹ × 173¹

Step-3: Factors of 45666

List of positive integer factors of 45666 that divides 45666 without a remainder.

1, 2, 3, 6, 9, 18, 43, 59, 86, 118, 129, 177, 258, 354, 387, 531, 774, 1062, 2537, 5074, 7611, 15222, 22833

Step-4: Factors of 45672

List of positive integer factors of 45672 that divides 45666 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 173, 264, 346, 519, 692, 1038, 1384, 1903, 2076, 3806, 4152, 5709, 7612, 11418, 15224, 22836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45666 and 45672. The biggest common factor number is the GCF number.
So the greatest common factor 45666 and 45672 is 6.

Also check out the Least Common Multiple of 45666 and 45672