What is the Greatest Common Factor of 45768 and 45780?

Greatest common factor (GCF) of 45768 and 45780 is 12.

GCF(45768,45780) = 12

We will now calculate the prime factors of 45768 and 45780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45768 and 45780.

How to find the GCF of 45768 and 45780?

We will first find the prime factorization of 45768 and 45780. After we will calculate the factors of 45768 and 45780 and find the biggest common factor number .

Step-1: Prime Factorization of 45768

Prime factors of 45768 are 2, 3, 1907. Prime factorization of 45768 in exponential form is:

45768 = 2³ × 3¹ × 1907¹

Step-2: 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-3: Factors of 45768

List of positive integer factors of 45768 that divides 45768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1907, 3814, 5721, 7628, 11442, 15256, 22884

Step-4: Factors of 45780

List of positive integer factors of 45780 that divides 45768 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45768 and 45780. The biggest common factor number is the GCF number.
So the greatest common factor 45768 and 45780 is 12.

Also check out the Least Common Multiple of 45768 and 45780