What is the Greatest Common Factor of 45669 and 45675?

Greatest common factor (GCF) of 45669 and 45675 is 3.

GCF(45669,45675) = 3

We will now calculate the prime factors of 45669 and 45675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45669 and 45675.

How to find the GCF of 45669 and 45675?

We will first find the prime factorization of 45669 and 45675. After we will calculate the factors of 45669 and 45675 and find the biggest common factor number .

Step-1: Prime Factorization of 45669

Prime factors of 45669 are 3, 13, 1171. Prime factorization of 45669 in exponential form is:

45669 = 3¹ × 13¹ × 1171¹

Step-2: Prime Factorization of 45675

Prime factors of 45675 are 3, 5, 7, 29. Prime factorization of 45675 in exponential form is:

45675 = 3² × 5² × 7¹ × 29¹

Step-3: Factors of 45669

List of positive integer factors of 45669 that divides 45669 without a remainder.

1, 3, 13, 39, 1171, 3513, 15223

Step-4: Factors of 45675

List of positive integer factors of 45675 that divides 45669 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 29, 35, 45, 63, 75, 87, 105, 145, 175, 203, 225, 261, 315, 435, 525, 609, 725, 1015, 1305, 1575, 1827, 2175, 3045, 5075, 6525, 9135, 15225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45669 and 45675. The biggest common factor number is the GCF number.
So the greatest common factor 45669 and 45675 is 3.

Also check out the Least Common Multiple of 45669 and 45675