What is the Greatest Common Factor of 45774 and 45780?

Greatest common factor (GCF) of 45774 and 45780 is 6.

GCF(45774,45780) = 6

We will now calculate the prime factors of 45774 and 45780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45774 and 45780.

How to find the GCF of 45774 and 45780?

We will first find the prime factorization of 45774 and 45780. After we will calculate the factors of 45774 and 45780 and find the biggest common factor number .

Step-1: Prime Factorization of 45774

Prime factors of 45774 are 2, 3, 2543. Prime factorization of 45774 in exponential form is:

45774 = 2¹ × 3² × 2543¹

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 45774

List of positive integer factors of 45774 that divides 45774 without a remainder.

1, 2, 3, 6, 9, 18, 2543, 5086, 7629, 15258, 22887

Step-4: Factors of 45780

List of positive integer factors of 45780 that divides 45774 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 45774 and 45780. The biggest common factor number is the GCF number.
So the greatest common factor 45774 and 45780 is 6.

Also check out the Least Common Multiple of 45774 and 45780