What is the Greatest Common Factor of 45672 and 45690?

Greatest common factor (GCF) of 45672 and 45690 is 6.

GCF(45672,45690) = 6

We will now calculate the prime factors of 45672 and 45690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45672 and 45690.

How to find the GCF of 45672 and 45690?

We will first find the prime factorization of 45672 and 45690. After we will calculate the factors of 45672 and 45690 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45690

Prime factors of 45690 are 2, 3, 5, 1523. Prime factorization of 45690 in exponential form is:

45690 = 2¹ × 3¹ × 5¹ × 1523¹

Step-3: Factors of 45672

List of positive integer factors of 45672 that divides 45672 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

Step-4: Factors of 45690

List of positive integer factors of 45690 that divides 45672 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1523, 3046, 4569, 7615, 9138, 15230, 22845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45672 and 45690. The biggest common factor number is the GCF number.
So the greatest common factor 45672 and 45690 is 6.

Also check out the Least Common Multiple of 45672 and 45690