What is the Greatest Common Factor of 45780 and 45794?

Greatest common factor (GCF) of 45780 and 45794 is 14.

GCF(45780,45794) = 14

We will now calculate the prime factors of 45780 and 45794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45780 and 45794.

How to find the GCF of 45780 and 45794?

We will first find the prime factorization of 45780 and 45794. After we will calculate the factors of 45780 and 45794 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 45794

Prime factors of 45794 are 2, 7, 3271. Prime factorization of 45794 in exponential form is:

45794 = 2¹ × 7¹ × 3271¹

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 45794

List of positive integer factors of 45794 that divides 45780 without a remainder.

1, 2, 7, 14, 3271, 6542, 22897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45780 and 45794. The biggest common factor number is the GCF number.
So the greatest common factor 45780 and 45794 is 14.

Also check out the Least Common Multiple of 45780 and 45794