What is the Greatest Common Factor of 45780 and 45792?

Greatest common factor (GCF) of 45780 and 45792 is 12.

GCF(45780,45792) = 12

We will now calculate the prime factors of 45780 and 45792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45780 and 45792.

How to find the GCF of 45780 and 45792?

We will first find the prime factorization of 45780 and 45792. After we will calculate the factors of 45780 and 45792 and find the biggest common factor number .

Step-1: Prime Factorization of 45780

Prime factors of 45780 are 2, 3, 5, 7, 109. Prime factorization of 45780 in exponential form is:

45780 = 2² × 3¹ × 5¹ × 7¹ × 109¹

Step-2: Prime Factorization of 45792

Prime factors of 45792 are 2, 3, 53. Prime factorization of 45792 in exponential form is:

45792 = 2⁵ × 3³ × 53¹

Step-3: Factors of 45780

List of positive integer factors of 45780 that divides 45780 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 109, 140, 210, 218, 327, 420, 436, 545, 654, 763, 1090, 1308, 1526, 1635, 2180, 2289, 3052, 3270, 3815, 4578, 6540, 7630, 9156, 11445, 15260, 22890

Step-4: Factors of 45792

List of positive integer factors of 45792 that divides 45780 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 53, 54, 72, 96, 106, 108, 144, 159, 212, 216, 288, 318, 424, 432, 477, 636, 848, 864, 954, 1272, 1431, 1696, 1908, 2544, 2862, 3816, 5088, 5724, 7632, 11448, 15264, 22896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45780 and 45792. The biggest common factor number is the GCF number.
So the greatest common factor 45780 and 45792 is 12.

Also check out the Least Common Multiple of 45780 and 45792